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Finding the Fourth Proportional to 5,902.60, 8,856.87 and 3,680.86

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Solution

The fourth proportional to 5,902.60, 8,856.87 and 3,680.86 is: 5,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.60 : 8,856.87 = 3,680.86 : x
  2. Step 2: Convert to fraction form
    5,902.60/8,856.87 = 3,680.86/x
  3. Step 3: Cross multiply
    5,902.60x = 8,856.87 × 3,680.86
  4. Step 4: Simplify right side
    5,902.60x = 32,600,898.51
  5. Step 5: Solve for x
    x = 32,600,898.51/5,902.60
  6. Step 6: Final answer
    x = 5,523.14

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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.