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Finding the Fourth Proportional to 3,538.85, 4,872.42 and 2,696.87

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Solution

The fourth proportional to 3,538.85, 4,872.42 and 2,696.87 is: 3,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.85 : 4,872.42 = 2,696.87 : x
  2. Step 2: Convert to fraction form
    3,538.85/4,872.42 = 2,696.87/x
  3. Step 3: Cross multiply
    3,538.85x = 4,872.42 × 2,696.87
  4. Step 4: Simplify right side
    3,538.85x = 13,140,283.33
  5. Step 5: Solve for x
    x = 13,140,283.33/3,538.85
  6. Step 6: Final answer
    x = 3,713.15

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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.