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Finding the Fourth Proportional to 4,171.70, 5,756.70 and 2,282.91

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Solution

The fourth proportional to 4,171.70, 5,756.70 and 2,282.91 is: 3,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.70 : 5,756.70 = 2,282.91 : x
  2. Step 2: Convert to fraction form
    4,171.70/5,756.70 = 2,282.91/x
  3. Step 3: Cross multiply
    4,171.70x = 5,756.70 × 2,282.91
  4. Step 4: Simplify right side
    4,171.70x = 13,142,010.75
  5. Step 5: Solve for x
    x = 13,142,010.75/4,171.70
  6. Step 6: Final answer
    x = 3,150.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.