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Finding the Fourth Proportional to 3,753.72, 5,177.70 and 2,260.56

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Solution

The fourth proportional to 3,753.72, 5,177.70 and 2,260.56 is: 3,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.72 : 5,177.70 = 2,260.56 : x
  2. Step 2: Convert to fraction form
    3,753.72/5,177.70 = 2,260.56/x
  3. Step 3: Cross multiply
    3,753.72x = 5,177.70 × 2,260.56
  4. Step 4: Simplify right side
    3,753.72x = 11,704,501.51
  5. Step 5: Solve for x
    x = 11,704,501.51/3,753.72
  6. Step 6: Final answer
    x = 3,118.11

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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.