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Finding the Fourth Proportional to 3,719.65, 5,134.22 and 2,148.79

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Solution

The fourth proportional to 3,719.65, 5,134.22 and 2,148.79 is: 2,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.65 : 5,134.22 = 2,148.79 : x
  2. Step 2: Convert to fraction form
    3,719.65/5,134.22 = 2,148.79/x
  3. Step 3: Cross multiply
    3,719.65x = 5,134.22 × 2,148.79
  4. Step 4: Simplify right side
    3,719.65x = 11,032,360.59
  5. Step 5: Solve for x
    x = 11,032,360.59/3,719.65
  6. Step 6: Final answer
    x = 2,965.97

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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.