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Finding the Fourth Proportional to 5,747.98, 8,622.42 and 1,852.52

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Solution

The fourth proportional to 5,747.98, 8,622.42 and 1,852.52 is: 2,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.98 : 8,622.42 = 1,852.52 : x
  2. Step 2: Convert to fraction form
    5,747.98/8,622.42 = 1,852.52/x
  3. Step 3: Cross multiply
    5,747.98x = 8,622.42 × 1,852.52
  4. Step 4: Simplify right side
    5,747.98x = 15,973,205.50
  5. Step 5: Solve for x
    x = 15,973,205.50/5,747.98
  6. Step 6: Final answer
    x = 2,778.93

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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.