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Finding the Fourth Proportional to 3,753.70, 5,637.04 and 2,301.38

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Solution

The fourth proportional to 3,753.70, 5,637.04 and 2,301.38 is: 3,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.70 : 5,637.04 = 2,301.38 : x
  2. Step 2: Convert to fraction form
    3,753.70/5,637.04 = 2,301.38/x
  3. Step 3: Cross multiply
    3,753.70x = 5,637.04 × 2,301.38
  4. Step 4: Simplify right side
    3,753.70x = 12,972,971.12
  5. Step 5: Solve for x
    x = 12,972,971.12/3,753.70
  6. Step 6: Final answer
    x = 3,456.05

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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.