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Finding the Fourth Proportional to 3,520.14, 4,857.86 and 1,948.20

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Solution

The fourth proportional to 3,520.14, 4,857.86 and 1,948.20 is: 2,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.14 : 4,857.86 = 1,948.20 : x
  2. Step 2: Convert to fraction form
    3,520.14/4,857.86 = 1,948.20/x
  3. Step 3: Cross multiply
    3,520.14x = 4,857.86 × 1,948.20
  4. Step 4: Simplify right side
    3,520.14x = 9,464,073.11
  5. Step 5: Solve for x
    x = 9,464,073.11/3,520.14
  6. Step 6: Final answer
    x = 2,688.55

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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.