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Finding the Fourth Proportional to 3,751.86, 5,627.85 and 1,154.82

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Solution

The fourth proportional to 3,751.86, 5,627.85 and 1,154.82 is: 1,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.86 : 5,627.85 = 1,154.82 : x
  2. Step 2: Convert to fraction form
    3,751.86/5,627.85 = 1,154.82/x
  3. Step 3: Cross multiply
    3,751.86x = 5,627.85 × 1,154.82
  4. Step 4: Simplify right side
    3,751.86x = 6,499,153.74
  5. Step 5: Solve for x
    x = 6,499,153.74/3,751.86
  6. Step 6: Final answer
    x = 1,732.25

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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.