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Finding the Fourth Proportional to 5,146.54, 7,714.31 and 3,681.25

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Solution

The fourth proportional to 5,146.54, 7,714.31 and 3,681.25 is: 5,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.54 : 7,714.31 = 3,681.25 : x
  2. Step 2: Convert to fraction form
    5,146.54/7,714.31 = 3,681.25/x
  3. Step 3: Cross multiply
    5,146.54x = 7,714.31 × 3,681.25
  4. Step 4: Simplify right side
    5,146.54x = 28,398,297.06
  5. Step 5: Solve for x
    x = 28,398,297.06/5,146.54
  6. Step 6: Final answer
    x = 5,517.94

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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.