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Finding the Fourth Proportional to 3,758.49, 5,638.27 and 1,161.63

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Solution

The fourth proportional to 3,758.49, 5,638.27 and 1,161.63 is: 1,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.49 : 5,638.27 = 1,161.63 : x
  2. Step 2: Convert to fraction form
    3,758.49/5,638.27 = 1,161.63/x
  3. Step 3: Cross multiply
    3,758.49x = 5,638.27 × 1,161.63
  4. Step 4: Simplify right side
    3,758.49x = 6,549,552.48
  5. Step 5: Solve for x
    x = 6,549,552.48/3,758.49
  6. Step 6: Final answer
    x = 1,742.60

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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.