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Finding the Fourth Proportional to 3,471.80, 5,209.74 and 1,282.06

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Solution

The fourth proportional to 3,471.80, 5,209.74 and 1,282.06 is: 1,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.80 : 5,209.74 = 1,282.06 : x
  2. Step 2: Convert to fraction form
    3,471.80/5,209.74 = 1,282.06/x
  3. Step 3: Cross multiply
    3,471.80x = 5,209.74 × 1,282.06
  4. Step 4: Simplify right side
    3,471.80x = 6,679,199.26
  5. Step 5: Solve for x
    x = 6,679,199.26/3,471.80
  6. Step 6: Final answer
    x = 1,923.84

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Why These Related Problems?

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