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Finding the Fourth Proportional to 5,862.75, 8,795.34 and 2,400

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Solution

The fourth proportional to 5,862.75, 8,795.34 and 2,400 is: 3,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.75 : 8,795.34 = 2,400 : x
  2. Step 2: Convert to fraction form
    5,862.75/8,795.34 = 2,400/x
  3. Step 3: Cross multiply
    5,862.75x = 8,795.34 × 2,400
  4. Step 4: Simplify right side
    5,862.75x = 21,108,816
  5. Step 5: Solve for x
    x = 21,108,816/5,862.75
  6. Step 6: Final answer
    x = 3,600.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.