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Finding the Fourth Proportional to 3,470.85, 5,202.02 and 2,152.58

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Solution

The fourth proportional to 3,470.85, 5,202.02 and 2,152.58 is: 3,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.85 : 5,202.02 = 2,152.58 : x
  2. Step 2: Convert to fraction form
    3,470.85/5,202.02 = 2,152.58/x
  3. Step 3: Cross multiply
    3,470.85x = 5,202.02 × 2,152.58
  4. Step 4: Simplify right side
    3,470.85x = 11,197,743.58
  5. Step 5: Solve for x
    x = 11,197,743.58/3,470.85
  6. Step 6: Final answer
    x = 3,226.23

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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.