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Finding the Fourth Proportional to 6,092.24, 8,407.14 and 3,439.50

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Solution

The fourth proportional to 6,092.24, 8,407.14 and 3,439.50 is: 4,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.24 : 8,407.14 = 3,439.50 : x
  2. Step 2: Convert to fraction form
    6,092.24/8,407.14 = 3,439.50/x
  3. Step 3: Cross multiply
    6,092.24x = 8,407.14 × 3,439.50
  4. Step 4: Simplify right side
    6,092.24x = 28,916,358.03
  5. Step 5: Solve for x
    x = 28,916,358.03/6,092.24
  6. Step 6: Final answer
    x = 4,746.42

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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.