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Finding the Fourth Proportional to 3,705.85, 5,558.05 and 3,469.42

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Solution

The fourth proportional to 3,705.85, 5,558.05 and 3,469.42 is: 5,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.85 : 5,558.05 = 3,469.42 : x
  2. Step 2: Convert to fraction form
    3,705.85/5,558.05 = 3,469.42/x
  3. Step 3: Cross multiply
    3,705.85x = 5,558.05 × 3,469.42
  4. Step 4: Simplify right side
    3,705.85x = 19,283,209.83
  5. Step 5: Solve for x
    x = 19,283,209.83/3,705.85
  6. Step 6: Final answer
    x = 5,203.45

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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.