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Finding the Fourth Proportional to 5,488.74, 8,233.20 and 3,023.10

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Solution

The fourth proportional to 5,488.74, 8,233.20 and 3,023.10 is: 4,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.74 : 8,233.20 = 3,023.10 : x
  2. Step 2: Convert to fraction form
    5,488.74/8,233.20 = 3,023.10/x
  3. Step 3: Cross multiply
    5,488.74x = 8,233.20 × 3,023.10
  4. Step 4: Simplify right side
    5,488.74x = 24,889,786.92
  5. Step 5: Solve for x
    x = 24,889,786.92/5,488.74
  6. Step 6: Final answer
    x = 4,534.70

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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.