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Finding the Fourth Proportional to 5,797.12, 8,689.20 and 3,490.24

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Solution

The fourth proportional to 5,797.12, 8,689.20 and 3,490.24 is: 5,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.12 : 8,689.20 = 3,490.24 : x
  2. Step 2: Convert to fraction form
    5,797.12/8,689.20 = 3,490.24/x
  3. Step 3: Cross multiply
    5,797.12x = 8,689.20 × 3,490.24
  4. Step 4: Simplify right side
    5,797.12x = 30,327,393.41
  5. Step 5: Solve for x
    x = 30,327,393.41/5,797.12
  6. Step 6: Final answer
    x = 5,231.46

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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.