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Finding the Fourth Proportional to 5,861.60, 8,104.56 and 5,123.84

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Solution

The fourth proportional to 5,861.60, 8,104.56 and 5,123.84 is: 7,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.60 : 8,104.56 = 5,123.84 : x
  2. Step 2: Convert to fraction form
    5,861.60/8,104.56 = 5,123.84/x
  3. Step 3: Cross multiply
    5,861.60x = 8,104.56 × 5,123.84
  4. Step 4: Simplify right side
    5,861.60x = 41,526,468.71
  5. Step 5: Solve for x
    x = 41,526,468.71/5,861.60
  6. Step 6: Final answer
    x = 7,084.49

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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.