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Finding the Fourth Proportional to 5,733.48, 7,952.40 and 5,500.20

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Solution

The fourth proportional to 5,733.48, 7,952.40 and 5,500.20 is: 7,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.48 : 7,952.40 = 5,500.20 : x
  2. Step 2: Convert to fraction form
    5,733.48/7,952.40 = 5,500.20/x
  3. Step 3: Cross multiply
    5,733.48x = 7,952.40 × 5,500.20
  4. Step 4: Simplify right side
    5,733.48x = 43,739,790.48
  5. Step 5: Solve for x
    x = 43,739,790.48/5,733.48
  6. Step 6: Final answer
    x = 7,628.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.