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Finding the Fourth Proportional to 3,705.76, 5,115.80 and 2,864.56

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Solution

The fourth proportional to 3,705.76, 5,115.80 and 2,864.56 is: 3,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.76 : 5,115.80 = 2,864.56 : x
  2. Step 2: Convert to fraction form
    3,705.76/5,115.80 = 2,864.56/x
  3. Step 3: Cross multiply
    3,705.76x = 5,115.80 × 2,864.56
  4. Step 4: Simplify right side
    3,705.76x = 14,654,516.05
  5. Step 5: Solve for x
    x = 14,654,516.05/3,705.76
  6. Step 6: Final answer
    x = 3,954.52

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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.