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Finding the Fourth Proportional to 4,937.60, 6,813 and 2,947.83

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Solution

The fourth proportional to 4,937.60, 6,813 and 2,947.83 is: 4,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.60 : 6,813 = 2,947.83 : x
  2. Step 2: Convert to fraction form
    4,937.60/6,813 = 2,947.83/x
  3. Step 3: Cross multiply
    4,937.60x = 6,813 × 2,947.83
  4. Step 4: Simplify right side
    4,937.60x = 20,083,565.79
  5. Step 5: Solve for x
    x = 20,083,565.79/4,937.60
  6. Step 6: Final answer
    x = 4,067.48

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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.