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Finding the Fourth Proportional to 5,788,406.70, 7,987,604.58 and 3,209,846.22

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Solution

The fourth proportional to 5,788,406.70, 7,987,604.58 and 3,209,846.22 is: 4,429,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788,406.70 : 7,987,604.58 = 3,209,846.22 : x
  2. Step 2: Convert to fraction form
    5,788,406.70/7,987,604.58 = 3,209,846.22/x
  3. Step 3: Cross multiply
    5,788,406.70x = 7,987,604.58 × 3,209,846.22
  4. Step 4: Simplify right side
    5,788,406.70x = 25,638,982,367,967.69
  5. Step 5: Solve for x
    x = 25,638,982,367,967.69/5,788,406.70
  6. Step 6: Final answer
    x = 4,429,367.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.