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Finding the Fourth Proportional to 4,396.40, 6,590.22 and 2,198.42

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Solution

The fourth proportional to 4,396.40, 6,590.22 and 2,198.42 is: 3,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396.40 : 6,590.22 = 2,198.42 : x
  2. Step 2: Convert to fraction form
    4,396.40/6,590.22 = 2,198.42/x
  3. Step 3: Cross multiply
    4,396.40x = 6,590.22 × 2,198.42
  4. Step 4: Simplify right side
    4,396.40x = 14,488,071.45
  5. Step 5: Solve for x
    x = 14,488,071.45/4,396.40
  6. Step 6: Final answer
    x = 3,295.44

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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.