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Finding the Fourth Proportional to 5,489.30, 8,233.95 and 1,594.10

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Solution

The fourth proportional to 5,489.30, 8,233.95 and 1,594.10 is: 2,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.30 : 8,233.95 = 1,594.10 : x
  2. Step 2: Convert to fraction form
    5,489.30/8,233.95 = 1,594.10/x
  3. Step 3: Cross multiply
    5,489.30x = 8,233.95 × 1,594.10
  4. Step 4: Simplify right side
    5,489.30x = 13,125,739.70
  5. Step 5: Solve for x
    x = 13,125,739.70/5,489.30
  6. Step 6: Final answer
    x = 2,391.15

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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.