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Finding the Fourth Proportional to 3,644.93, 5,470.05 and 1,454.28

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Solution

The fourth proportional to 3,644.93, 5,470.05 and 1,454.28 is: 2,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.93 : 5,470.05 = 1,454.28 : x
  2. Step 2: Convert to fraction form
    3,644.93/5,470.05 = 1,454.28/x
  3. Step 3: Cross multiply
    3,644.93x = 5,470.05 × 1,454.28
  4. Step 4: Simplify right side
    3,644.93x = 7,954,984.31
  5. Step 5: Solve for x
    x = 7,954,984.31/3,644.93
  6. Step 6: Final answer
    x = 2,182.48

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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.