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Finding the Fourth Proportional to 5,007.92, 7,507.64 and 3,061.48

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Solution

The fourth proportional to 5,007.92, 7,507.64 and 3,061.48 is: 4,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.92 : 7,507.64 = 3,061.48 : x
  2. Step 2: Convert to fraction form
    5,007.92/7,507.64 = 3,061.48/x
  3. Step 3: Cross multiply
    5,007.92x = 7,507.64 × 3,061.48
  4. Step 4: Simplify right side
    5,007.92x = 22,984,489.71
  5. Step 5: Solve for x
    x = 22,984,489.71/5,007.92
  6. Step 6: Final answer
    x = 4,589.63

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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.