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Finding the Fourth Proportional to 3,987.62, 5,503.17 and 2,416.10

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Solution

The fourth proportional to 3,987.62, 5,503.17 and 2,416.10 is: 3,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.62 : 5,503.17 = 2,416.10 : x
  2. Step 2: Convert to fraction form
    3,987.62/5,503.17 = 2,416.10/x
  3. Step 3: Cross multiply
    3,987.62x = 5,503.17 × 2,416.10
  4. Step 4: Simplify right side
    3,987.62x = 13,296,209.04
  5. Step 5: Solve for x
    x = 13,296,209.04/3,987.62
  6. Step 6: Final answer
    x = 3,334.37

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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.