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Finding the Fourth Proportional to 3,537.14, 4,881.20 and 1,965.11

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Solution

The fourth proportional to 3,537.14, 4,881.20 and 1,965.11 is: 2,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.14 : 4,881.20 = 1,965.11 : x
  2. Step 2: Convert to fraction form
    3,537.14/4,881.20 = 1,965.11/x
  3. Step 3: Cross multiply
    3,537.14x = 4,881.20 × 1,965.11
  4. Step 4: Simplify right side
    3,537.14x = 9,592,060.70
  5. Step 5: Solve for x
    x = 9,592,060.70/3,537.14
  6. Step 6: Final answer
    x = 2,711.82

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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.