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Finding the Fourth Proportional to 3,757.48, 5,633.90 and 1,567.80

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Solution

The fourth proportional to 3,757.48, 5,633.90 and 1,567.80 is: 2,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.48 : 5,633.90 = 1,567.80 : x
  2. Step 2: Convert to fraction form
    3,757.48/5,633.90 = 1,567.80/x
  3. Step 3: Cross multiply
    3,757.48x = 5,633.90 × 1,567.80
  4. Step 4: Simplify right side
    3,757.48x = 8,832,828.42
  5. Step 5: Solve for x
    x = 8,832,828.42/3,757.48
  6. Step 6: Final answer
    x = 2,350.73

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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.