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Finding the Fourth Proportional to 3,713.45, 5,124.40 and 2,034.82

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Solution

The fourth proportional to 3,713.45, 5,124.40 and 2,034.82 is: 2,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.45 : 5,124.40 = 2,034.82 : x
  2. Step 2: Convert to fraction form
    3,713.45/5,124.40 = 2,034.82/x
  3. Step 3: Cross multiply
    3,713.45x = 5,124.40 × 2,034.82
  4. Step 4: Simplify right side
    3,713.45x = 10,427,232.93
  5. Step 5: Solve for x
    x = 10,427,232.93/3,713.45
  6. Step 6: Final answer
    x = 2,807.97

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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.