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Finding the Fourth Proportional to 3,989.68, 5,504.16 and 2,417.20

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Solution

The fourth proportional to 3,989.68, 5,504.16 and 2,417.20 is: 3,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.68 : 5,504.16 = 2,417.20 : x
  2. Step 2: Convert to fraction form
    3,989.68/5,504.16 = 2,417.20/x
  3. Step 3: Cross multiply
    3,989.68x = 5,504.16 × 2,417.20
  4. Step 4: Simplify right side
    3,989.68x = 13,304,655.55
  5. Step 5: Solve for x
    x = 13,304,655.55/3,989.68
  6. Step 6: Final answer
    x = 3,334.77

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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.