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Finding the Fourth Proportional to 4,394.82, 6,586.65 and 2,200.62

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Solution

The fourth proportional to 4,394.82, 6,586.65 and 2,200.62 is: 3,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.82 : 6,586.65 = 2,200.62 : x
  2. Step 2: Convert to fraction form
    4,394.82/6,586.65 = 2,200.62/x
  3. Step 3: Cross multiply
    4,394.82x = 6,586.65 × 2,200.62
  4. Step 4: Simplify right side
    4,394.82x = 14,494,713.72
  5. Step 5: Solve for x
    x = 14,494,713.72/4,394.82
  6. Step 6: Final answer
    x = 3,298.14

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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.