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Finding the Fourth Proportional to 3,872.65, 5,341.17 and 2,547.72

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Solution

The fourth proportional to 3,872.65, 5,341.17 and 2,547.72 is: 3,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.65 : 5,341.17 = 2,547.72 : x
  2. Step 2: Convert to fraction form
    3,872.65/5,341.17 = 2,547.72/x
  3. Step 3: Cross multiply
    3,872.65x = 5,341.17 × 2,547.72
  4. Step 4: Simplify right side
    3,872.65x = 13,607,805.63
  5. Step 5: Solve for x
    x = 13,607,805.63/3,872.65
  6. Step 6: Final answer
    x = 3,513.82

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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.