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Finding the Fourth Proportional to 3,837.48, 5,291.76 and 3,614.20

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Solution

The fourth proportional to 3,837.48, 5,291.76 and 3,614.20 is: 4,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.48 : 5,291.76 = 3,614.20 : x
  2. Step 2: Convert to fraction form
    3,837.48/5,291.76 = 3,614.20/x
  3. Step 3: Cross multiply
    3,837.48x = 5,291.76 × 3,614.20
  4. Step 4: Simplify right side
    3,837.48x = 19,125,478.99
  5. Step 5: Solve for x
    x = 19,125,478.99/3,837.48
  6. Step 6: Final answer
    x = 4,983.86

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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.