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Finding the Fourth Proportional to 3,109.88, 4,689.25 and 2,851.60

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Solution

The fourth proportional to 3,109.88, 4,689.25 and 2,851.60 is: 4,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.88 : 4,689.25 = 2,851.60 : x
  2. Step 2: Convert to fraction form
    3,109.88/4,689.25 = 2,851.60/x
  3. Step 3: Cross multiply
    3,109.88x = 4,689.25 × 2,851.60
  4. Step 4: Simplify right side
    3,109.88x = 13,371,865.30
  5. Step 5: Solve for x
    x = 13,371,865.30/3,109.88
  6. Step 6: Final answer
    x = 4,299.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.