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Finding the Fourth Proportional to 3,901.28, 5,878.24 and 3,223.14

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Solution

The fourth proportional to 3,901.28, 5,878.24 and 3,223.14 is: 4,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.28 : 5,878.24 = 3,223.14 : x
  2. Step 2: Convert to fraction form
    3,901.28/5,878.24 = 3,223.14/x
  3. Step 3: Cross multiply
    3,901.28x = 5,878.24 × 3,223.14
  4. Step 4: Simplify right side
    3,901.28x = 18,946,390.47
  5. Step 5: Solve for x
    x = 18,946,390.47/3,901.28
  6. Step 6: Final answer
    x = 4,856.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.