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Finding the Fourth Proportional to 5,903.12, 8,857.65 and 3,681.38

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Solution

The fourth proportional to 5,903.12, 8,857.65 and 3,681.38 is: 5,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.12 : 8,857.65 = 3,681.38 : x
  2. Step 2: Convert to fraction form
    5,903.12/8,857.65 = 3,681.38/x
  3. Step 3: Cross multiply
    5,903.12x = 8,857.65 × 3,681.38
  4. Step 4: Simplify right side
    5,903.12x = 32,608,375.56
  5. Step 5: Solve for x
    x = 32,608,375.56/5,903.12
  6. Step 6: Final answer
    x = 5,523.92

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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.