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Finding the Fourth Proportional to 3,650.68, 5,034.90 and 2,706.76

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Solution

The fourth proportional to 3,650.68, 5,034.90 and 2,706.76 is: 3,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.68 : 5,034.90 = 2,706.76 : x
  2. Step 2: Convert to fraction form
    3,650.68/5,034.90 = 2,706.76/x
  3. Step 3: Cross multiply
    3,650.68x = 5,034.90 × 2,706.76
  4. Step 4: Simplify right side
    3,650.68x = 13,628,265.92
  5. Step 5: Solve for x
    x = 13,628,265.92/3,650.68
  6. Step 6: Final answer
    x = 3,733.08

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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.