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Finding the Fourth Proportional to 3,759.84, 5,638.85 and 1,567.37

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Solution

The fourth proportional to 3,759.84, 5,638.85 and 1,567.37 is: 2,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.84 : 5,638.85 = 1,567.37 : x
  2. Step 2: Convert to fraction form
    3,759.84/5,638.85 = 1,567.37/x
  3. Step 3: Cross multiply
    3,759.84x = 5,638.85 × 1,567.37
  4. Step 4: Simplify right side
    3,759.84x = 8,838,156.49
  5. Step 5: Solve for x
    x = 8,838,156.49/3,759.84
  6. Step 6: Final answer
    x = 2,350.68

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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.