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Finding the Fourth Proportional to 3,467.84, 5,202.12 and 1,127.75

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Solution

The fourth proportional to 3,467.84, 5,202.12 and 1,127.75 is: 1,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.84 : 5,202.12 = 1,127.75 : x
  2. Step 2: Convert to fraction form
    3,467.84/5,202.12 = 1,127.75/x
  3. Step 3: Cross multiply
    3,467.84x = 5,202.12 × 1,127.75
  4. Step 4: Simplify right side
    3,467.84x = 5,866,664.82
  5. Step 5: Solve for x
    x = 5,866,664.82/3,467.84
  6. Step 6: Final answer
    x = 1,691.74

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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.