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Finding the Fourth Proportional to 3,689, 5,530.17 and 1,347.35

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Solution

The fourth proportional to 3,689, 5,530.17 and 1,347.35 is: 2,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689 : 5,530.17 = 1,347.35 : x
  2. Step 2: Convert to fraction form
    3,689/5,530.17 = 1,347.35/x
  3. Step 3: Cross multiply
    3,689x = 5,530.17 × 1,347.35
  4. Step 4: Simplify right side
    3,689x = 7,451,081.64
  5. Step 5: Solve for x
    x = 7,451,081.64/3,689
  6. Step 6: Final answer
    x = 2,019.81

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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.