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Finding the Fourth Proportional to 4,766.97, 6,578.40 and 2,671.09

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Solution

The fourth proportional to 4,766.97, 6,578.40 and 2,671.09 is: 3,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.97 : 6,578.40 = 2,671.09 : x
  2. Step 2: Convert to fraction form
    4,766.97/6,578.40 = 2,671.09/x
  3. Step 3: Cross multiply
    4,766.97x = 6,578.40 × 2,671.09
  4. Step 4: Simplify right side
    4,766.97x = 17,571,498.46
  5. Step 5: Solve for x
    x = 17,571,498.46/4,766.97
  6. Step 6: Final answer
    x = 3,686.10

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