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Finding the Fourth Proportional to 3,691.77, 5,538.21 and 1,192.14

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Solution

The fourth proportional to 3,691.77, 5,538.21 and 1,192.14 is: 1,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.77 : 5,538.21 = 1,192.14 : x
  2. Step 2: Convert to fraction form
    3,691.77/5,538.21 = 1,192.14/x
  3. Step 3: Cross multiply
    3,691.77x = 5,538.21 × 1,192.14
  4. Step 4: Simplify right side
    3,691.77x = 6,602,321.67
  5. Step 5: Solve for x
    x = 6,602,321.67/3,691.77
  6. Step 6: Final answer
    x = 1,788.39

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1.5x scale

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.