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Finding the Fourth Proportional to 3,909.51, 5,390.52 and 3,161.16

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Solution

The fourth proportional to 3,909.51, 5,390.52 and 3,161.16 is: 4,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.51 : 5,390.52 = 3,161.16 : x
  2. Step 2: Convert to fraction form
    3,909.51/5,390.52 = 3,161.16/x
  3. Step 3: Cross multiply
    3,909.51x = 5,390.52 × 3,161.16
  4. Step 4: Simplify right side
    3,909.51x = 17,040,296.20
  5. Step 5: Solve for x
    x = 17,040,296.20/3,909.51
  6. Step 6: Final answer
    x = 4,358.68

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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.