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Finding the Fourth Proportional to 3,466.25, 5,174.42 and 3,220.21

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Solution

The fourth proportional to 3,466.25, 5,174.42 and 3,220.21 is: 4,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.25 : 5,174.42 = 3,220.21 : x
  2. Step 2: Convert to fraction form
    3,466.25/5,174.42 = 3,220.21/x
  3. Step 3: Cross multiply
    3,466.25x = 5,174.42 × 3,220.21
  4. Step 4: Simplify right side
    3,466.25x = 16,662,719.03
  5. Step 5: Solve for x
    x = 16,662,719.03/3,466.25
  6. Step 6: Final answer
    x = 4,807.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.