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Finding the Fourth Proportional to 5,060.78, 7,591.50 and 2,428.86

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Solution

The fourth proportional to 5,060.78, 7,591.50 and 2,428.86 is: 3,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060.78 : 7,591.50 = 2,428.86 : x
  2. Step 2: Convert to fraction form
    5,060.78/7,591.50 = 2,428.86/x
  3. Step 3: Cross multiply
    5,060.78x = 7,591.50 × 2,428.86
  4. Step 4: Simplify right side
    5,060.78x = 18,438,690.69
  5. Step 5: Solve for x
    x = 18,438,690.69/5,060.78
  6. Step 6: Final answer
    x = 3,643.45

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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.