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Finding the Fourth Proportional to 5,646.60, 8,472.82 and 3,773.80

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Solution

The fourth proportional to 5,646.60, 8,472.82 and 3,773.80 is: 5,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.60 : 8,472.82 = 3,773.80 : x
  2. Step 2: Convert to fraction form
    5,646.60/8,472.82 = 3,773.80/x
  3. Step 3: Cross multiply
    5,646.60x = 8,472.82 × 3,773.80
  4. Step 4: Simplify right side
    5,646.60x = 31,974,728.12
  5. Step 5: Solve for x
    x = 31,974,728.12/5,646.60
  6. Step 6: Final answer
    x = 5,662.65

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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.