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Finding the Fourth Proportional to 5,498.32, 7,581 and 3,821.12

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Solution

The fourth proportional to 5,498.32, 7,581 and 3,821.12 is: 5,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.32 : 7,581 = 3,821.12 : x
  2. Step 2: Convert to fraction form
    5,498.32/7,581 = 3,821.12/x
  3. Step 3: Cross multiply
    5,498.32x = 7,581 × 3,821.12
  4. Step 4: Simplify right side
    5,498.32x = 28,967,910.72
  5. Step 5: Solve for x
    x = 28,967,910.72/5,498.32
  6. Step 6: Final answer
    x = 5,268.50

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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.