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Finding the Fourth Proportional to 4,672.31, 6,447.79 and 2,547.84

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Solution

The fourth proportional to 4,672.31, 6,447.79 and 2,547.84 is: 3,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.31 : 6,447.79 = 2,547.84 : x
  2. Step 2: Convert to fraction form
    4,672.31/6,447.79 = 2,547.84/x
  3. Step 3: Cross multiply
    4,672.31x = 6,447.79 × 2,547.84
  4. Step 4: Simplify right side
    4,672.31x = 16,427,937.27
  5. Step 5: Solve for x
    x = 16,427,937.27/4,672.31
  6. Step 6: Final answer
    x = 3,516.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.