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Finding the Fourth Proportional to 5,729.51, 8,605.20 and 3,542.51

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Solution

The fourth proportional to 5,729.51, 8,605.20 and 3,542.51 is: 5,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.51 : 8,605.20 = 3,542.51 : x
  2. Step 2: Convert to fraction form
    5,729.51/8,605.20 = 3,542.51/x
  3. Step 3: Cross multiply
    5,729.51x = 8,605.20 × 3,542.51
  4. Step 4: Simplify right side
    5,729.51x = 30,484,007.05
  5. Step 5: Solve for x
    x = 30,484,007.05/5,729.51
  6. Step 6: Final answer
    x = 5,320.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.