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Finding the Fourth Proportional to 5,052.75, 6,972.80 and 2,957.28

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Solution

The fourth proportional to 5,052.75, 6,972.80 and 2,957.28 is: 4,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.75 : 6,972.80 = 2,957.28 : x
  2. Step 2: Convert to fraction form
    5,052.75/6,972.80 = 2,957.28/x
  3. Step 3: Cross multiply
    5,052.75x = 6,972.80 × 2,957.28
  4. Step 4: Simplify right side
    5,052.75x = 20,620,507.20
  5. Step 5: Solve for x
    x = 20,620,507.20/5,052.75
  6. Step 6: Final answer
    x = 4,081.05

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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.