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Finding the Fourth Proportional to 4,145.51, 5,724.27 and 3,149.52

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Solution

The fourth proportional to 4,145.51, 5,724.27 and 3,149.52 is: 4,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.51 : 5,724.27 = 3,149.52 : x
  2. Step 2: Convert to fraction form
    4,145.51/5,724.27 = 3,149.52/x
  3. Step 3: Cross multiply
    4,145.51x = 5,724.27 × 3,149.52
  4. Step 4: Simplify right side
    4,145.51x = 18,028,681.38
  5. Step 5: Solve for x
    x = 18,028,681.38/4,145.51
  6. Step 6: Final answer
    x = 4,348.96

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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.