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Finding the Fourth Proportional to 4,969.64, 7,454.46 and 2,371.97

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Solution

The fourth proportional to 4,969.64, 7,454.46 and 2,371.97 is: 3,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.64 : 7,454.46 = 2,371.97 : x
  2. Step 2: Convert to fraction form
    4,969.64/7,454.46 = 2,371.97/x
  3. Step 3: Cross multiply
    4,969.64x = 7,454.46 × 2,371.97
  4. Step 4: Simplify right side
    4,969.64x = 17,681,718.21
  5. Step 5: Solve for x
    x = 17,681,718.21/4,969.64
  6. Step 6: Final answer
    x = 3,557.95

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Why These Related Problems?

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