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Finding the Fourth Proportional to 5,896,594.75, 8,137,358.75 and 3,283,135.22

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Solution

The fourth proportional to 5,896,594.75, 8,137,358.75 and 3,283,135.22 is: 4,530,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,594.75 : 8,137,358.75 = 3,283,135.22 : x
  2. Step 2: Convert to fraction form
    5,896,594.75/8,137,358.75 = 3,283,135.22/x
  3. Step 3: Cross multiply
    5,896,594.75x = 8,137,358.75 × 3,283,135.22
  4. Step 4: Simplify right side
    5,896,594.75x = 26,716,049,109,900.18
  5. Step 5: Solve for x
    x = 26,716,049,109,900.18/5,896,594.75
  6. Step 6: Final answer
    x = 4,530,758.89

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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.