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Finding the Fourth Proportional to 5,142.14, 7,712.01 and 1,444.73

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Solution

The fourth proportional to 5,142.14, 7,712.01 and 1,444.73 is: 2,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.14 : 7,712.01 = 1,444.73 : x
  2. Step 2: Convert to fraction form
    5,142.14/7,712.01 = 1,444.73/x
  3. Step 3: Cross multiply
    5,142.14x = 7,712.01 × 1,444.73
  4. Step 4: Simplify right side
    5,142.14x = 11,141,733.65
  5. Step 5: Solve for x
    x = 11,141,733.65/5,142.14
  6. Step 6: Final answer
    x = 2,166.75

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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.