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Finding the Fourth Proportional to 5,061.50, 7,593.05 and 2,288.06

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Solution

The fourth proportional to 5,061.50, 7,593.05 and 2,288.06 is: 3,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.50 : 7,593.05 = 2,288.06 : x
  2. Step 2: Convert to fraction form
    5,061.50/7,593.05 = 2,288.06/x
  3. Step 3: Cross multiply
    5,061.50x = 7,593.05 × 2,288.06
  4. Step 4: Simplify right side
    5,061.50x = 17,373,321.74
  5. Step 5: Solve for x
    x = 17,373,321.74/5,061.50
  6. Step 6: Final answer
    x = 3,432.45

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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.