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Finding the Fourth Proportional to 5,143.92, 7,711.02 and 1,856.13

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Solution

The fourth proportional to 5,143.92, 7,711.02 and 1,856.13 is: 2,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.92 : 7,711.02 = 1,856.13 : x
  2. Step 2: Convert to fraction form
    5,143.92/7,711.02 = 1,856.13/x
  3. Step 3: Cross multiply
    5,143.92x = 7,711.02 × 1,856.13
  4. Step 4: Simplify right side
    5,143.92x = 14,312,655.55
  5. Step 5: Solve for x
    x = 14,312,655.55/5,143.92
  6. Step 6: Final answer
    x = 2,782.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.