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Finding the Fourth Proportional to 3,866,232.25, 5,797,890.37 and 3,106,206.01

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Solution

The fourth proportional to 3,866,232.25, 5,797,890.37 and 3,106,206.01 is: 4,658,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866,232.25 : 5,797,890.37 = 3,106,206.01 : x
  2. Step 2: Convert to fraction form
    3,866,232.25/5,797,890.37 = 3,106,206.01/x
  3. Step 3: Cross multiply
    3,866,232.25x = 5,797,890.37 × 3,106,206.01
  4. Step 4: Simplify right side
    3,866,232.25x = 18,009,441,912,615.12
  5. Step 5: Solve for x
    x = 18,009,441,912,615.12/3,866,232.25
  6. Step 6: Final answer
    x = 4,658,137.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.