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Finding the Fourth Proportional to 3,517.88, 4,854.69 and 1,946.07

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Solution

The fourth proportional to 3,517.88, 4,854.69 and 1,946.07 is: 2,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.88 : 4,854.69 = 1,946.07 : x
  2. Step 2: Convert to fraction form
    3,517.88/4,854.69 = 1,946.07/x
  3. Step 3: Cross multiply
    3,517.88x = 4,854.69 × 1,946.07
  4. Step 4: Simplify right side
    3,517.88x = 9,447,566.57
  5. Step 5: Solve for x
    x = 9,447,566.57/3,517.88
  6. Step 6: Final answer
    x = 2,685.59

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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.