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Finding the Fourth Proportional to 5,747.98, 8,622.78 and 1,852.42

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Solution

The fourth proportional to 5,747.98, 8,622.78 and 1,852.42 is: 2,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.98 : 8,622.78 = 1,852.42 : x
  2. Step 2: Convert to fraction form
    5,747.98/8,622.78 = 1,852.42/x
  3. Step 3: Cross multiply
    5,747.98x = 8,622.78 × 1,852.42
  4. Step 4: Simplify right side
    5,747.98x = 15,973,010.13
  5. Step 5: Solve for x
    x = 15,973,010.13/5,747.98
  6. Step 6: Final answer
    x = 2,778.89

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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.