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Finding the Fourth Proportional to 5,990.24, 8,959.08 and 3,643.76

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Solution

The fourth proportional to 5,990.24, 8,959.08 and 3,643.76 is: 5,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.24 : 8,959.08 = 3,643.76 : x
  2. Step 2: Convert to fraction form
    5,990.24/8,959.08 = 3,643.76/x
  3. Step 3: Cross multiply
    5,990.24x = 8,959.08 × 3,643.76
  4. Step 4: Simplify right side
    5,990.24x = 32,644,737.34
  5. Step 5: Solve for x
    x = 32,644,737.34/5,990.24
  6. Step 6: Final answer
    x = 5,449.65

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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.