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Finding the Fourth Proportional to 3,695.98, 5,544.65 and 3,116.42

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Solution

The fourth proportional to 3,695.98, 5,544.65 and 3,116.42 is: 4,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.98 : 5,544.65 = 3,116.42 : x
  2. Step 2: Convert to fraction form
    3,695.98/5,544.65 = 3,116.42/x
  3. Step 3: Cross multiply
    3,695.98x = 5,544.65 × 3,116.42
  4. Step 4: Simplify right side
    3,695.98x = 17,279,458.15
  5. Step 5: Solve for x
    x = 17,279,458.15/3,695.98
  6. Step 6: Final answer
    x = 4,675.20

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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.