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Finding the Fourth Proportional to 3,713.02, 5,122.65 and 2,276.92

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Solution

The fourth proportional to 3,713.02, 5,122.65 and 2,276.92 is: 3,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.02 : 5,122.65 = 2,276.92 : x
  2. Step 2: Convert to fraction form
    3,713.02/5,122.65 = 2,276.92/x
  3. Step 3: Cross multiply
    3,713.02x = 5,122.65 × 2,276.92
  4. Step 4: Simplify right side
    3,713.02x = 11,663,864.24
  5. Step 5: Solve for x
    x = 11,663,864.24/3,713.02
  6. Step 6: Final answer
    x = 3,141.34

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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.