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Finding the Fourth Proportional to 5,606.27, 8,414.90 and 4,277.66

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Solution

The fourth proportional to 5,606.27, 8,414.90 and 4,277.66 is: 6,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.27 : 8,414.90 = 4,277.66 : x
  2. Step 2: Convert to fraction form
    5,606.27/8,414.90 = 4,277.66/x
  3. Step 3: Cross multiply
    5,606.27x = 8,414.90 × 4,277.66
  4. Step 4: Simplify right side
    5,606.27x = 35,996,059.75
  5. Step 5: Solve for x
    x = 35,996,059.75/5,606.27
  6. Step 6: Final answer
    x = 6,420.68

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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.