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Finding the Fourth Proportional to 5,653.17, 8,478.02 and 3,909.38

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Solution

The fourth proportional to 5,653.17, 8,478.02 and 3,909.38 is: 5,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.17 : 8,478.02 = 3,909.38 : x
  2. Step 2: Convert to fraction form
    5,653.17/8,478.02 = 3,909.38/x
  3. Step 3: Cross multiply
    5,653.17x = 8,478.02 × 3,909.38
  4. Step 4: Simplify right side
    5,653.17x = 33,143,739.89
  5. Step 5: Solve for x
    x = 33,143,739.89/5,653.17
  6. Step 6: Final answer
    x = 5,862.86

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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.