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Finding the Fourth Proportional to 3,474.04, 5,209.98 and 1,165

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Solution

The fourth proportional to 3,474.04, 5,209.98 and 1,165 is: 1,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.04 : 5,209.98 = 1,165 : x
  2. Step 2: Convert to fraction form
    3,474.04/5,209.98 = 1,165/x
  3. Step 3: Cross multiply
    3,474.04x = 5,209.98 × 1,165
  4. Step 4: Simplify right side
    3,474.04x = 6,069,626.70
  5. Step 5: Solve for x
    x = 6,069,626.70/3,474.04
  6. Step 6: Final answer
    x = 1,747.14

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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.