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Finding the Fourth Proportional to 3,841.80, 5,301.72 and 2,270.04

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Solution

The fourth proportional to 3,841.80, 5,301.72 and 2,270.04 is: 3,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.80 : 5,301.72 = 2,270.04 : x
  2. Step 2: Convert to fraction form
    3,841.80/5,301.72 = 2,270.04/x
  3. Step 3: Cross multiply
    3,841.80x = 5,301.72 × 2,270.04
  4. Step 4: Simplify right side
    3,841.80x = 12,035,116.47
  5. Step 5: Solve for x
    x = 12,035,116.47/3,841.80
  6. Step 6: Final answer
    x = 3,132.68

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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.