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Finding the Fourth Proportional to 3,911.95, 5,398.27 and 2,143.20

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Solution

The fourth proportional to 3,911.95, 5,398.27 and 2,143.20 is: 2,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.95 : 5,398.27 = 2,143.20 : x
  2. Step 2: Convert to fraction form
    3,911.95/5,398.27 = 2,143.20/x
  3. Step 3: Cross multiply
    3,911.95x = 5,398.27 × 2,143.20
  4. Step 4: Simplify right side
    3,911.95x = 11,569,572.26
  5. Step 5: Solve for x
    x = 11,569,572.26/3,911.95
  6. Step 6: Final answer
    x = 2,957.49

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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.