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Finding the Fourth Proportional to 4,941.81, 6,819.32 and 2,952.86

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Solution

The fourth proportional to 4,941.81, 6,819.32 and 2,952.86 is: 4,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.81 : 6,819.32 = 2,952.86 : x
  2. Step 2: Convert to fraction form
    4,941.81/6,819.32 = 2,952.86/x
  3. Step 3: Cross multiply
    4,941.81x = 6,819.32 × 2,952.86
  4. Step 4: Simplify right side
    4,941.81x = 20,136,470.54
  5. Step 5: Solve for x
    x = 20,136,470.54/4,941.81
  6. Step 6: Final answer
    x = 4,074.72

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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.