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Finding the Fourth Proportional to 3,469.71, 5,228.58 and 3,141.66

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Solution

The fourth proportional to 3,469.71, 5,228.58 and 3,141.66 is: 4,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.71 : 5,228.58 = 3,141.66 : x
  2. Step 2: Convert to fraction form
    3,469.71/5,228.58 = 3,141.66/x
  3. Step 3: Cross multiply
    3,469.71x = 5,228.58 × 3,141.66
  4. Step 4: Simplify right side
    3,469.71x = 16,426,420.64
  5. Step 5: Solve for x
    x = 16,426,420.64/3,469.71
  6. Step 6: Final answer
    x = 4,734.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.