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Finding the Fourth Proportional to 5,700.38, 7,866.48 and 3,182.45

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Solution

The fourth proportional to 5,700.38, 7,866.48 and 3,182.45 is: 4,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.38 : 7,866.48 = 3,182.45 : x
  2. Step 2: Convert to fraction form
    5,700.38/7,866.48 = 3,182.45/x
  3. Step 3: Cross multiply
    5,700.38x = 7,866.48 × 3,182.45
  4. Step 4: Simplify right side
    5,700.38x = 25,034,639.94
  5. Step 5: Solve for x
    x = 25,034,639.94/5,700.38
  6. Step 6: Final answer
    x = 4,391.75

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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.