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Finding the Fourth Proportional to 5,820.80, 8,732.32 and 2,489

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Solution

The fourth proportional to 5,820.80, 8,732.32 and 2,489 is: 3,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.80 : 8,732.32 = 2,489 : x
  2. Step 2: Convert to fraction form
    5,820.80/8,732.32 = 2,489/x
  3. Step 3: Cross multiply
    5,820.80x = 8,732.32 × 2,489
  4. Step 4: Simplify right side
    5,820.80x = 21,734,744.48
  5. Step 5: Solve for x
    x = 21,734,744.48/5,820.80
  6. Step 6: Final answer
    x = 3,733.98

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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.