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Finding the Fourth Proportional to 5,766.75, 8,643.98 and 2,480.10

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Solution

The fourth proportional to 5,766.75, 8,643.98 and 2,480.10 is: 3,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.75 : 8,643.98 = 2,480.10 : x
  2. Step 2: Convert to fraction form
    5,766.75/8,643.98 = 2,480.10/x
  3. Step 3: Cross multiply
    5,766.75x = 8,643.98 × 2,480.10
  4. Step 4: Simplify right side
    5,766.75x = 21,437,922.40
  5. Step 5: Solve for x
    x = 21,437,922.40/5,766.75
  6. Step 6: Final answer
    x = 3,717.51

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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.