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Finding the Fourth Proportional to 5,454.24, 8,182.08 and 1,990.32

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Solution

The fourth proportional to 5,454.24, 8,182.08 and 1,990.32 is: 2,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.24 : 8,182.08 = 1,990.32 : x
  2. Step 2: Convert to fraction form
    5,454.24/8,182.08 = 1,990.32/x
  3. Step 3: Cross multiply
    5,454.24x = 8,182.08 × 1,990.32
  4. Step 4: Simplify right side
    5,454.24x = 16,284,957.47
  5. Step 5: Solve for x
    x = 16,284,957.47/5,454.24
  6. Step 6: Final answer
    x = 2,985.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.