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Finding the Fourth Proportional to 3,751.44, 5,627.77 and 1,154.38

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Solution

The fourth proportional to 3,751.44, 5,627.77 and 1,154.38 is: 1,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.44 : 5,627.77 = 1,154.38 : x
  2. Step 2: Convert to fraction form
    3,751.44/5,627.77 = 1,154.38/x
  3. Step 3: Cross multiply
    3,751.44x = 5,627.77 × 1,154.38
  4. Step 4: Simplify right side
    3,751.44x = 6,496,585.13
  5. Step 5: Solve for x
    x = 6,496,585.13/3,751.44
  6. Step 6: Final answer
    x = 1,731.76

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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.