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Finding the Fourth Proportional to 5,260.53, 7,892.01 and 1,562.68

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Solution

The fourth proportional to 5,260.53, 7,892.01 and 1,562.68 is: 2,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.53 : 7,892.01 = 1,562.68 : x
  2. Step 2: Convert to fraction form
    5,260.53/7,892.01 = 1,562.68/x
  3. Step 3: Cross multiply
    5,260.53x = 7,892.01 × 1,562.68
  4. Step 4: Simplify right side
    5,260.53x = 12,332,686.19
  5. Step 5: Solve for x
    x = 12,332,686.19/5,260.53
  6. Step 6: Final answer
    x = 2,344.38

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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.