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Finding the Fourth Proportional to 3,710.80, 5,120.04 and 2,312.56

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Solution

The fourth proportional to 3,710.80, 5,120.04 and 2,312.56 is: 3,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.80 : 5,120.04 = 2,312.56 : x
  2. Step 2: Convert to fraction form
    3,710.80/5,120.04 = 2,312.56/x
  3. Step 3: Cross multiply
    3,710.80x = 5,120.04 × 2,312.56
  4. Step 4: Simplify right side
    3,710.80x = 11,840,399.70
  5. Step 5: Solve for x
    x = 11,840,399.70/3,710.80
  6. Step 6: Final answer
    x = 3,190.79

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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.