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Finding the Fourth Proportional to 5,700.96, 7,866.48 and 3,216.48

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Solution

The fourth proportional to 5,700.96, 7,866.48 and 3,216.48 is: 4,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.96 : 7,866.48 = 3,216.48 : x
  2. Step 2: Convert to fraction form
    5,700.96/7,866.48 = 3,216.48/x
  3. Step 3: Cross multiply
    5,700.96x = 7,866.48 × 3,216.48
  4. Step 4: Simplify right side
    5,700.96x = 25,302,375.59
  5. Step 5: Solve for x
    x = 25,302,375.59/5,700.96
  6. Step 6: Final answer
    x = 4,438.27

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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.