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Finding the Fourth Proportional to 3,695.58, 5,542.74 and 1,230.12

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Solution

The fourth proportional to 3,695.58, 5,542.74 and 1,230.12 is: 1,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.58 : 5,542.74 = 1,230.12 : x
  2. Step 2: Convert to fraction form
    3,695.58/5,542.74 = 1,230.12/x
  3. Step 3: Cross multiply
    3,695.58x = 5,542.74 × 1,230.12
  4. Step 4: Simplify right side
    3,695.58x = 6,818,235.33
  5. Step 5: Solve for x
    x = 6,818,235.33/3,695.58
  6. Step 6: Final answer
    x = 1,844.97

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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.