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Finding the Fourth Proportional to 3,841.49, 5,760.18 and 1,208.51

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Solution

The fourth proportional to 3,841.49, 5,760.18 and 1,208.51 is: 1,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.49 : 5,760.18 = 1,208.51 : x
  2. Step 2: Convert to fraction form
    3,841.49/5,760.18 = 1,208.51/x
  3. Step 3: Cross multiply
    3,841.49x = 5,760.18 × 1,208.51
  4. Step 4: Simplify right side
    3,841.49x = 6,961,200.29
  5. Step 5: Solve for x
    x = 6,961,200.29/3,841.49
  6. Step 6: Final answer
    x = 1,812.11

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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.