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Finding the Fourth Proportional to 5,967.44, 8,952.12 and 2,505.68

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Solution

The fourth proportional to 5,967.44, 8,952.12 and 2,505.68 is: 3,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.44 : 8,952.12 = 2,505.68 : x
  2. Step 2: Convert to fraction form
    5,967.44/8,952.12 = 2,505.68/x
  3. Step 3: Cross multiply
    5,967.44x = 8,952.12 × 2,505.68
  4. Step 4: Simplify right side
    5,967.44x = 22,431,148.04
  5. Step 5: Solve for x
    x = 22,431,148.04/5,967.44
  6. Step 6: Final answer
    x = 3,758.92

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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.