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Finding the Fourth Proportional to 3,908.92, 5,394.31 and 2,140.64

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Solution

The fourth proportional to 3,908.92, 5,394.31 and 2,140.64 is: 2,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.92 : 5,394.31 = 2,140.64 : x
  2. Step 2: Convert to fraction form
    3,908.92/5,394.31 = 2,140.64/x
  3. Step 3: Cross multiply
    3,908.92x = 5,394.31 × 2,140.64
  4. Step 4: Simplify right side
    3,908.92x = 11,547,275.76
  5. Step 5: Solve for x
    x = 11,547,275.76/3,908.92
  6. Step 6: Final answer
    x = 2,954.08

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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.