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Finding the Fourth Proportional to 3,758.99, 5,639.19 and 1,161.32

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Solution

The fourth proportional to 3,758.99, 5,639.19 and 1,161.32 is: 1,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.99 : 5,639.19 = 1,161.32 : x
  2. Step 2: Convert to fraction form
    3,758.99/5,639.19 = 1,161.32/x
  3. Step 3: Cross multiply
    3,758.99x = 5,639.19 × 1,161.32
  4. Step 4: Simplify right side
    3,758.99x = 6,548,904.13
  5. Step 5: Solve for x
    x = 6,548,904.13/3,758.99
  6. Step 6: Final answer
    x = 1,742.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.