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Finding the Fourth Proportional to 3,901.44, 5,387.60 and 2,506.64

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Solution

The fourth proportional to 3,901.44, 5,387.60 and 2,506.64 is: 3,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.44 : 5,387.60 = 2,506.64 : x
  2. Step 2: Convert to fraction form
    3,901.44/5,387.60 = 2,506.64/x
  3. Step 3: Cross multiply
    3,901.44x = 5,387.60 × 2,506.64
  4. Step 4: Simplify right side
    3,901.44x = 13,504,773.66
  5. Step 5: Solve for x
    x = 13,504,773.66/3,901.44
  6. Step 6: Final answer
    x = 3,461.48

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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.