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Finding the Fourth Proportional to 2,712.56, 3,718.24 and 2,675.66

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Solution

The fourth proportional to 2,712.56, 3,718.24 and 2,675.66 is: 3,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.56 : 3,718.24 = 2,675.66 : x
  2. Step 2: Convert to fraction form
    2,712.56/3,718.24 = 2,675.66/x
  3. Step 3: Cross multiply
    2,712.56x = 3,718.24 × 2,675.66
  4. Step 4: Simplify right side
    2,712.56x = 9,948,742.50
  5. Step 5: Solve for x
    x = 9,948,742.50/2,712.56
  6. Step 6: Final answer
    x = 3,667.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.