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Finding the Fourth Proportional to 5,032.64, 6,945.14 and 2,794.61

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Solution

The fourth proportional to 5,032.64, 6,945.14 and 2,794.61 is: 3,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.64 : 6,945.14 = 2,794.61 : x
  2. Step 2: Convert to fraction form
    5,032.64/6,945.14 = 2,794.61/x
  3. Step 3: Cross multiply
    5,032.64x = 6,945.14 × 2,794.61
  4. Step 4: Simplify right side
    5,032.64x = 19,408,957.70
  5. Step 5: Solve for x
    x = 19,408,957.70/5,032.64
  6. Step 6: Final answer
    x = 3,856.62

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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.