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Finding the Fourth Proportional to 6,123.68, 8,449.20 and 3,884.74

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Solution

The fourth proportional to 6,123.68, 8,449.20 and 3,884.74 is: 5,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.68 : 8,449.20 = 3,884.74 : x
  2. Step 2: Convert to fraction form
    6,123.68/8,449.20 = 3,884.74/x
  3. Step 3: Cross multiply
    6,123.68x = 8,449.20 × 3,884.74
  4. Step 4: Simplify right side
    6,123.68x = 32,822,945.21
  5. Step 5: Solve for x
    x = 32,822,945.21/6,123.68
  6. Step 6: Final answer
    x = 5,360.00

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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.