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Finding the Fourth Proportional to 4,182.28, 5,771.70 and 2,319.28

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Solution

The fourth proportional to 4,182.28, 5,771.70 and 2,319.28 is: 3,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.28 : 5,771.70 = 2,319.28 : x
  2. Step 2: Convert to fraction form
    4,182.28/5,771.70 = 2,319.28/x
  3. Step 3: Cross multiply
    4,182.28x = 5,771.70 × 2,319.28
  4. Step 4: Simplify right side
    4,182.28x = 13,386,188.38
  5. Step 5: Solve for x
    x = 13,386,188.38/4,182.28
  6. Step 6: Final answer
    x = 3,200.69

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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.