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Finding the Fourth Proportional to 6,003.97, 8,275.51 and 4,013.80

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Solution

The fourth proportional to 6,003.97, 8,275.51 and 4,013.80 is: 5,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.97 : 8,275.51 = 4,013.80 : x
  2. Step 2: Convert to fraction form
    6,003.97/8,275.51 = 4,013.80/x
  3. Step 3: Cross multiply
    6,003.97x = 8,275.51 × 4,013.80
  4. Step 4: Simplify right side
    6,003.97x = 33,216,242.04
  5. Step 5: Solve for x
    x = 33,216,242.04/6,003.97
  6. Step 6: Final answer
    x = 5,532.38

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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.