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Finding the Fourth Proportional to 3,841.65, 5,750.69 and 2,801.40

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Solution

The fourth proportional to 3,841.65, 5,750.69 and 2,801.40 is: 4,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.65 : 5,750.69 = 2,801.40 : x
  2. Step 2: Convert to fraction form
    3,841.65/5,750.69 = 2,801.40/x
  3. Step 3: Cross multiply
    3,841.65x = 5,750.69 × 2,801.40
  4. Step 4: Simplify right side
    3,841.65x = 16,109,982.97
  5. Step 5: Solve for x
    x = 16,109,982.97/3,841.65
  6. Step 6: Final answer
    x = 4,193.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.