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Finding the Fourth Proportional to 3,449.52, 4,760.46 and 1,957.50

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Solution

The fourth proportional to 3,449.52, 4,760.46 and 1,957.50 is: 2,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.52 : 4,760.46 = 1,957.50 : x
  2. Step 2: Convert to fraction form
    3,449.52/4,760.46 = 1,957.50/x
  3. Step 3: Cross multiply
    3,449.52x = 4,760.46 × 1,957.50
  4. Step 4: Simplify right side
    3,449.52x = 9,318,600.45
  5. Step 5: Solve for x
    x = 9,318,600.45/3,449.52
  6. Step 6: Final answer
    x = 2,701.42

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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.