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Finding the Fourth Proportional to 3,901.44, 5,387.58 and 2,506.62

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Solution

The fourth proportional to 3,901.44, 5,387.58 and 2,506.62 is: 3,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.44 : 5,387.58 = 2,506.62 : x
  2. Step 2: Convert to fraction form
    3,901.44/5,387.58 = 2,506.62/x
  3. Step 3: Cross multiply
    3,901.44x = 5,387.58 × 2,506.62
  4. Step 4: Simplify right side
    3,901.44x = 13,504,615.78
  5. Step 5: Solve for x
    x = 13,504,615.78/3,901.44
  6. Step 6: Final answer
    x = 3,461.44

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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.