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Finding the Fourth Proportional to 3,635.88, 5,017.71 and 2,144.67

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Solution

The fourth proportional to 3,635.88, 5,017.71 and 2,144.67 is: 2,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.88 : 5,017.71 = 2,144.67 : x
  2. Step 2: Convert to fraction form
    3,635.88/5,017.71 = 2,144.67/x
  3. Step 3: Cross multiply
    3,635.88x = 5,017.71 × 2,144.67
  4. Step 4: Simplify right side
    3,635.88x = 10,761,332.11
  5. Step 5: Solve for x
    x = 10,761,332.11/3,635.88
  6. Step 6: Final answer
    x = 2,959.76

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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.