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Finding the Fourth Proportional to 3,298.75, 4,552.06 and 1,972.47

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Solution

The fourth proportional to 3,298.75, 4,552.06 and 1,972.47 is: 2,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.75 : 4,552.06 = 1,972.47 : x
  2. Step 2: Convert to fraction form
    3,298.75/4,552.06 = 1,972.47/x
  3. Step 3: Cross multiply
    3,298.75x = 4,552.06 × 1,972.47
  4. Step 4: Simplify right side
    3,298.75x = 8,978,801.79
  5. Step 5: Solve for x
    x = 8,978,801.79/3,298.75
  6. Step 6: Final answer
    x = 2,721.88

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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.