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Finding the Fourth Proportional to 3,901.97, 5,855.59 and 1,438.76

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Solution

The fourth proportional to 3,901.97, 5,855.59 and 1,438.76 is: 2,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.97 : 5,855.59 = 1,438.76 : x
  2. Step 2: Convert to fraction form
    3,901.97/5,855.59 = 1,438.76/x
  3. Step 3: Cross multiply
    3,901.97x = 5,855.59 × 1,438.76
  4. Step 4: Simplify right side
    3,901.97x = 8,424,805.11
  5. Step 5: Solve for x
    x = 8,424,805.11/3,901.97
  6. Step 6: Final answer
    x = 2,159.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.