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Finding the Fourth Proportional to 5,824.68, 8,035.38 and 3,730.92

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Solution

The fourth proportional to 5,824.68, 8,035.38 and 3,730.92 is: 5,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.68 : 8,035.38 = 3,730.92 : x
  2. Step 2: Convert to fraction form
    5,824.68/8,035.38 = 3,730.92/x
  3. Step 3: Cross multiply
    5,824.68x = 8,035.38 × 3,730.92
  4. Step 4: Simplify right side
    5,824.68x = 29,979,359.95
  5. Step 5: Solve for x
    x = 29,979,359.95/5,824.68
  6. Step 6: Final answer
    x = 5,146.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.