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Finding the Fourth Proportional to 4,957.14, 7,437.06 and 2,767.44

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Solution

The fourth proportional to 4,957.14, 7,437.06 and 2,767.44 is: 4,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.14 : 7,437.06 = 2,767.44 : x
  2. Step 2: Convert to fraction form
    4,957.14/7,437.06 = 2,767.44/x
  3. Step 3: Cross multiply
    4,957.14x = 7,437.06 × 2,767.44
  4. Step 4: Simplify right side
    4,957.14x = 20,581,617.33
  5. Step 5: Solve for x
    x = 20,581,617.33/4,957.14
  6. Step 6: Final answer
    x = 4,151.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.