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Finding the Fourth Proportional to 6,253.68, 9,382.48 and 2,558.08

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Solution

The fourth proportional to 6,253.68, 9,382.48 and 2,558.08 is: 3,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.68 : 9,382.48 = 2,558.08 : x
  2. Step 2: Convert to fraction form
    6,253.68/9,382.48 = 2,558.08/x
  3. Step 3: Cross multiply
    6,253.68x = 9,382.48 × 2,558.08
  4. Step 4: Simplify right side
    6,253.68x = 24,001,134.44
  5. Step 5: Solve for x
    x = 24,001,134.44/6,253.68
  6. Step 6: Final answer
    x = 3,837.92

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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.