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Finding the Fourth Proportional to 5,700.80, 7,865.76 and 3,216.32

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Solution

The fourth proportional to 5,700.80, 7,865.76 and 3,216.32 is: 4,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.80 : 7,865.76 = 3,216.32 : x
  2. Step 2: Convert to fraction form
    5,700.80/7,865.76 = 3,216.32/x
  3. Step 3: Cross multiply
    5,700.80x = 7,865.76 × 3,216.32
  4. Step 4: Simplify right side
    5,700.80x = 25,298,801.20
  5. Step 5: Solve for x
    x = 25,298,801.20/5,700.80
  6. Step 6: Final answer
    x = 4,437.76

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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.