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Finding the Fourth Proportional to 3,980.48, 5,929.28 and 3,837.92

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Solution

The fourth proportional to 3,980.48, 5,929.28 and 3,837.92 is: 5,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.48 : 5,929.28 = 3,837.92 : x
  2. Step 2: Convert to fraction form
    3,980.48/5,929.28 = 3,837.92/x
  3. Step 3: Cross multiply
    3,980.48x = 5,929.28 × 3,837.92
  4. Step 4: Simplify right side
    3,980.48x = 22,756,102.30
  5. Step 5: Solve for x
    x = 22,756,102.30/3,980.48
  6. Step 6: Final answer
    x = 5,716.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.