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Finding the Fourth Proportional to 5,869.60, 8,098.92 and 3,385.12

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Solution

The fourth proportional to 5,869.60, 8,098.92 and 3,385.12 is: 4,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.60 : 8,098.92 = 3,385.12 : x
  2. Step 2: Convert to fraction form
    5,869.60/8,098.92 = 3,385.12/x
  3. Step 3: Cross multiply
    5,869.60x = 8,098.92 × 3,385.12
  4. Step 4: Simplify right side
    5,869.60x = 27,415,816.07
  5. Step 5: Solve for x
    x = 27,415,816.07/5,869.60
  6. Step 6: Final answer
    x = 4,670.82

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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.