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Finding the Fourth Proportional to 5,498.96, 8,239.17 and 3,547.04

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Solution

The fourth proportional to 5,498.96, 8,239.17 and 3,547.04 is: 5,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.96 : 8,239.17 = 3,547.04 : x
  2. Step 2: Convert to fraction form
    5,498.96/8,239.17 = 3,547.04/x
  3. Step 3: Cross multiply
    5,498.96x = 8,239.17 × 3,547.04
  4. Step 4: Simplify right side
    5,498.96x = 29,224,665.56
  5. Step 5: Solve for x
    x = 29,224,665.56/5,498.96
  6. Step 6: Final answer
    x = 5,314.58

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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.