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Finding the Fourth Proportional to 3,643.87, 5,468.43 and 2,470.97

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Solution

The fourth proportional to 3,643.87, 5,468.43 and 2,470.97 is: 3,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.87 : 5,468.43 = 2,470.97 : x
  2. Step 2: Convert to fraction form
    3,643.87/5,468.43 = 2,470.97/x
  3. Step 3: Cross multiply
    3,643.87x = 5,468.43 × 2,470.97
  4. Step 4: Simplify right side
    3,643.87x = 13,512,326.48
  5. Step 5: Solve for x
    x = 13,512,326.48/3,643.87
  6. Step 6: Final answer
    x = 3,708.24

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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.