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Finding the Fourth Proportional to 3,758.64, 5,637.96 and 1,161.52

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Solution

The fourth proportional to 3,758.64, 5,637.96 and 1,161.52 is: 1,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.64 : 5,637.96 = 1,161.52 : x
  2. Step 2: Convert to fraction form
    3,758.64/5,637.96 = 1,161.52/x
  3. Step 3: Cross multiply
    3,758.64x = 5,637.96 × 1,161.52
  4. Step 4: Simplify right side
    3,758.64x = 6,548,603.30
  5. Step 5: Solve for x
    x = 6,548,603.30/3,758.64
  6. Step 6: Final answer
    x = 1,742.28

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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.