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Finding the Fourth Proportional to 5,586.49, 7,709.11 and 3,349.60

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Solution

The fourth proportional to 5,586.49, 7,709.11 and 3,349.60 is: 4,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.49 : 7,709.11 = 3,349.60 : x
  2. Step 2: Convert to fraction form
    5,586.49/7,709.11 = 3,349.60/x
  3. Step 3: Cross multiply
    5,586.49x = 7,709.11 × 3,349.60
  4. Step 4: Simplify right side
    5,586.49x = 25,822,464.70
  5. Step 5: Solve for x
    x = 25,822,464.70/5,586.49
  6. Step 6: Final answer
    x = 4,622.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.