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Finding the Fourth Proportional to 4,892.02, 7,332.50 and 2,428.60

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Solution

The fourth proportional to 4,892.02, 7,332.50 and 2,428.60 is: 3,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.02 : 7,332.50 = 2,428.60 : x
  2. Step 2: Convert to fraction form
    4,892.02/7,332.50 = 2,428.60/x
  3. Step 3: Cross multiply
    4,892.02x = 7,332.50 × 2,428.60
  4. Step 4: Simplify right side
    4,892.02x = 17,807,709.50
  5. Step 5: Solve for x
    x = 17,807,709.50/4,892.02
  6. Step 6: Final answer
    x = 3,640.15

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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.