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Finding the Fourth Proportional to 5,700.26, 7,866.42 and 3,182.54

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Solution

The fourth proportional to 5,700.26, 7,866.42 and 3,182.54 is: 4,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.26 : 7,866.42 = 3,182.54 : x
  2. Step 2: Convert to fraction form
    5,700.26/7,866.42 = 3,182.54/x
  3. Step 3: Cross multiply
    5,700.26x = 7,866.42 × 3,182.54
  4. Step 4: Simplify right side
    5,700.26x = 25,035,196.31
  5. Step 5: Solve for x
    x = 25,035,196.31/5,700.26
  6. Step 6: Final answer
    x = 4,391.94

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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.