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Finding the Fourth Proportional to 5,060.75, 7,591.13 and 1,598

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Solution

The fourth proportional to 5,060.75, 7,591.13 and 1,598 is: 2,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060.75 : 7,591.13 = 1,598 : x
  2. Step 2: Convert to fraction form
    5,060.75/7,591.13 = 1,598/x
  3. Step 3: Cross multiply
    5,060.75x = 7,591.13 × 1,598
  4. Step 4: Simplify right side
    5,060.75x = 12,130,625.74
  5. Step 5: Solve for x
    x = 12,130,625.74/5,060.75
  6. Step 6: Final answer
    x = 2,397.00

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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.