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Finding the Fourth Proportional to 3,987.90, 5,969.48 and 3,397.40

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Solution

The fourth proportional to 3,987.90, 5,969.48 and 3,397.40 is: 5,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.90 : 5,969.48 = 3,397.40 : x
  2. Step 2: Convert to fraction form
    3,987.90/5,969.48 = 3,397.40/x
  3. Step 3: Cross multiply
    3,987.90x = 5,969.48 × 3,397.40
  4. Step 4: Simplify right side
    3,987.90x = 20,280,711.35
  5. Step 5: Solve for x
    x = 20,280,711.35/3,987.90
  6. Step 6: Final answer
    x = 5,085.56

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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.