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Finding the Fourth Proportional to 3,871.35, 5,806.17 and 1,097.96

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Solution

The fourth proportional to 3,871.35, 5,806.17 and 1,097.96 is: 1,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.35 : 5,806.17 = 1,097.96 : x
  2. Step 2: Convert to fraction form
    3,871.35/5,806.17 = 1,097.96/x
  3. Step 3: Cross multiply
    3,871.35x = 5,806.17 × 1,097.96
  4. Step 4: Simplify right side
    3,871.35x = 6,374,913.38
  5. Step 5: Solve for x
    x = 6,374,913.38/3,871.35
  6. Step 6: Final answer
    x = 1,646.69

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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.