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Finding the Fourth Proportional to 6,275.97, 8,661.33 and 3,624.30

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Solution

The fourth proportional to 6,275.97, 8,661.33 and 3,624.30 is: 5,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.97 : 8,661.33 = 3,624.30 : x
  2. Step 2: Convert to fraction form
    6,275.97/8,661.33 = 3,624.30/x
  3. Step 3: Cross multiply
    6,275.97x = 8,661.33 × 3,624.30
  4. Step 4: Simplify right side
    6,275.97x = 31,391,258.32
  5. Step 5: Solve for x
    x = 31,391,258.32/6,275.97
  6. Step 6: Final answer
    x = 5,001.82

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