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Finding the Fourth Proportional to 3,905.34, 5,387.67 and 2,507.82

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Solution

The fourth proportional to 3,905.34, 5,387.67 and 2,507.82 is: 3,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.34 : 5,387.67 = 2,507.82 : x
  2. Step 2: Convert to fraction form
    3,905.34/5,387.67 = 2,507.82/x
  3. Step 3: Cross multiply
    3,905.34x = 5,387.67 × 2,507.82
  4. Step 4: Simplify right side
    3,905.34x = 13,511,306.58
  5. Step 5: Solve for x
    x = 13,511,306.58/3,905.34
  6. Step 6: Final answer
    x = 3,459.70

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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.