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Finding the Fourth Proportional to 3,473.10, 5,212.08 and 3,166.92

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Solution

The fourth proportional to 3,473.10, 5,212.08 and 3,166.92 is: 4,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.10 : 5,212.08 = 3,166.92 : x
  2. Step 2: Convert to fraction form
    3,473.10/5,212.08 = 3,166.92/x
  3. Step 3: Cross multiply
    3,473.10x = 5,212.08 × 3,166.92
  4. Step 4: Simplify right side
    3,473.10x = 16,506,240.39
  5. Step 5: Solve for x
    x = 16,506,240.39/3,473.10
  6. Step 6: Final answer
    x = 4,752.60

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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.