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Finding the Fourth Proportional to 4,766.50, 6,578.04 and 2,671.30

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Solution

The fourth proportional to 4,766.50, 6,578.04 and 2,671.30 is: 3,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.50 : 6,578.04 = 2,671.30 : x
  2. Step 2: Convert to fraction form
    4,766.50/6,578.04 = 2,671.30/x
  3. Step 3: Cross multiply
    4,766.50x = 6,578.04 × 2,671.30
  4. Step 4: Simplify right side
    4,766.50x = 17,571,918.25
  5. Step 5: Solve for x
    x = 17,571,918.25/4,766.50
  6. Step 6: Final answer
    x = 3,686.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.