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Finding the Fourth Proportional to 3,473.56, 5,210.32 and 2,011.92

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Solution

The fourth proportional to 3,473.56, 5,210.32 and 2,011.92 is: 3,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.56 : 5,210.32 = 2,011.92 : x
  2. Step 2: Convert to fraction form
    3,473.56/5,210.32 = 2,011.92/x
  3. Step 3: Cross multiply
    3,473.56x = 5,210.32 × 2,011.92
  4. Step 4: Simplify right side
    3,473.56x = 10,482,747.01
  5. Step 5: Solve for x
    x = 10,482,747.01/3,473.56
  6. Step 6: Final answer
    x = 3,017.87

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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.