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Finding the Fourth Proportional to 4,323.97, 5,967.23 and 2,557.09

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Solution

The fourth proportional to 4,323.97, 5,967.23 and 2,557.09 is: 3,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.97 : 5,967.23 = 2,557.09 : x
  2. Step 2: Convert to fraction form
    4,323.97/5,967.23 = 2,557.09/x
  3. Step 3: Cross multiply
    4,323.97x = 5,967.23 × 2,557.09
  4. Step 4: Simplify right side
    4,323.97x = 15,258,731.38
  5. Step 5: Solve for x
    x = 15,258,731.38/4,323.97
  6. Step 6: Final answer
    x = 3,528.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.