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Finding the Fourth Proportional to 3,470.96, 5,200.96 and 2,818.52

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Solution

The fourth proportional to 3,470.96, 5,200.96 and 2,818.52 is: 4,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.96 : 5,200.96 = 2,818.52 : x
  2. Step 2: Convert to fraction form
    3,470.96/5,200.96 = 2,818.52/x
  3. Step 3: Cross multiply
    3,470.96x = 5,200.96 × 2,818.52
  4. Step 4: Simplify right side
    3,470.96x = 14,659,009.78
  5. Step 5: Solve for x
    x = 14,659,009.78/3,470.96
  6. Step 6: Final answer
    x = 4,223.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.