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Finding the Fourth Proportional to 3,788.14, 5,682.50 and 1,155.88

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Solution

The fourth proportional to 3,788.14, 5,682.50 and 1,155.88 is: 1,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.14 : 5,682.50 = 1,155.88 : x
  2. Step 2: Convert to fraction form
    3,788.14/5,682.50 = 1,155.88/x
  3. Step 3: Cross multiply
    3,788.14x = 5,682.50 × 1,155.88
  4. Step 4: Simplify right side
    3,788.14x = 6,568,268.11
  5. Step 5: Solve for x
    x = 6,568,268.11/3,788.14
  6. Step 6: Final answer
    x = 1,733.90

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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.