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Finding the Fourth Proportional to 3,948.50, 5,448.85 and 2,156.00

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Solution

The fourth proportional to 3,948.50, 5,448.85 and 2,156.00 is: 2,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.50 : 5,448.85 = 2,156.00 : x
  2. Step 2: Convert to fraction form
    3,948.50/5,448.85 = 2,156.00/x
  3. Step 3: Cross multiply
    3,948.50x = 5,448.85 × 2,156.00
  4. Step 4: Simplify right side
    3,948.50x = 11,747,687.97
  5. Step 5: Solve for x
    x = 11,747,687.97/3,948.50
  6. Step 6: Final answer
    x = 2,975.23

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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.