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Finding the Fourth Proportional to 4,761.14, 7,141.90 and 1,298.38

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Solution

The fourth proportional to 4,761.14, 7,141.90 and 1,298.38 is: 1,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.14 : 7,141.90 = 1,298.38 : x
  2. Step 2: Convert to fraction form
    4,761.14/7,141.90 = 1,298.38/x
  3. Step 3: Cross multiply
    4,761.14x = 7,141.90 × 1,298.38
  4. Step 4: Simplify right side
    4,761.14x = 9,272,900.12
  5. Step 5: Solve for x
    x = 9,272,900.12/4,761.14
  6. Step 6: Final answer
    x = 1,947.62

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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.