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Finding the Fourth Proportional to 5,060.78, 7,591.53 and 1,598

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Solution

The fourth proportional to 5,060.78, 7,591.53 and 1,598 is: 2,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060.78 : 7,591.53 = 1,598 : x
  2. Step 2: Convert to fraction form
    5,060.78/7,591.53 = 1,598/x
  3. Step 3: Cross multiply
    5,060.78x = 7,591.53 × 1,598
  4. Step 4: Simplify right side
    5,060.78x = 12,131,264.94
  5. Step 5: Solve for x
    x = 12,131,264.94/5,060.78
  6. Step 6: Final answer
    x = 2,397.11

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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.