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Finding the Fourth Proportional to 3,905.34, 5,387.40 and 2,645.97

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Solution

The fourth proportional to 3,905.34, 5,387.40 and 2,645.97 is: 3,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.34 : 5,387.40 = 2,645.97 : x
  2. Step 2: Convert to fraction form
    3,905.34/5,387.40 = 2,645.97/x
  3. Step 3: Cross multiply
    3,905.34x = 5,387.40 × 2,645.97
  4. Step 4: Simplify right side
    3,905.34x = 14,254,898.78
  5. Step 5: Solve for x
    x = 14,254,898.78/3,905.34
  6. Step 6: Final answer
    x = 3,650.10

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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.