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Finding the Fourth Proportional to 5,912.40, 8,864.18 and 2,580

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Solution

The fourth proportional to 5,912.40, 8,864.18 and 2,580 is: 3,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.40 : 8,864.18 = 2,580 : x
  2. Step 2: Convert to fraction form
    5,912.40/8,864.18 = 2,580/x
  3. Step 3: Cross multiply
    5,912.40x = 8,864.18 × 2,580
  4. Step 4: Simplify right side
    5,912.40x = 22,869,584.40
  5. Step 5: Solve for x
    x = 22,869,584.40/5,912.40
  6. Step 6: Final answer
    x = 3,868.07

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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.