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Finding the Fourth Proportional to 5,230.80, 7,846.20 and 1,335.06

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Solution

The fourth proportional to 5,230.80, 7,846.20 and 1,335.06 is: 2,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.80 : 7,846.20 = 1,335.06 : x
  2. Step 2: Convert to fraction form
    5,230.80/7,846.20 = 1,335.06/x
  3. Step 3: Cross multiply
    5,230.80x = 7,846.20 × 1,335.06
  4. Step 4: Simplify right side
    5,230.80x = 10,475,147.77
  5. Step 5: Solve for x
    x = 10,475,147.77/5,230.80
  6. Step 6: Final answer
    x = 2,002.59

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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.