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Finding the Fourth Proportional to 3,443.96, 5,159.46 and 1,713.80

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Solution

The fourth proportional to 3,443.96, 5,159.46 and 1,713.80 is: 2,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.96 : 5,159.46 = 1,713.80 : x
  2. Step 2: Convert to fraction form
    3,443.96/5,159.46 = 1,713.80/x
  3. Step 3: Cross multiply
    3,443.96x = 5,159.46 × 1,713.80
  4. Step 4: Simplify right side
    3,443.96x = 8,842,282.55
  5. Step 5: Solve for x
    x = 8,842,282.55/3,443.96
  6. Step 6: Final answer
    x = 2,567.48

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1.5x scale

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.