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Finding the Fourth Proportional to 3,757.83, 5,177.16 and 3,582.87

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Solution

The fourth proportional to 3,757.83, 5,177.16 and 3,582.87 is: 4,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.83 : 5,177.16 = 3,582.87 : x
  2. Step 2: Convert to fraction form
    3,757.83/5,177.16 = 3,582.87/x
  3. Step 3: Cross multiply
    3,757.83x = 5,177.16 × 3,582.87
  4. Step 4: Simplify right side
    3,757.83x = 18,549,091.25
  5. Step 5: Solve for x
    x = 18,549,091.25/3,757.83
  6. Step 6: Final answer
    x = 4,936.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.