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Finding the Fourth Proportional to 3,899.76, 5,382.40 and 3,528.24

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Solution

The fourth proportional to 3,899.76, 5,382.40 and 3,528.24 is: 4,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.76 : 5,382.40 = 3,528.24 : x
  2. Step 2: Convert to fraction form
    3,899.76/5,382.40 = 3,528.24/x
  3. Step 3: Cross multiply
    3,899.76x = 5,382.40 × 3,528.24
  4. Step 4: Simplify right side
    3,899.76x = 18,990,398.98
  5. Step 5: Solve for x
    x = 18,990,398.98/3,899.76
  6. Step 6: Final answer
    x = 4,869.63

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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.