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Finding the Fourth Proportional to 5,892.87, 8,123.76 and 4,213.68

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Solution

The fourth proportional to 5,892.87, 8,123.76 and 4,213.68 is: 5,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.87 : 8,123.76 = 4,213.68 : x
  2. Step 2: Convert to fraction form
    5,892.87/8,123.76 = 4,213.68/x
  3. Step 3: Cross multiply
    5,892.87x = 8,123.76 × 4,213.68
  4. Step 4: Simplify right side
    5,892.87x = 34,230,925.04
  5. Step 5: Solve for x
    x = 34,230,925.04/5,892.87
  6. Step 6: Final answer
    x = 5,808.87

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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.