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Finding the Fourth Proportional to 3,472.66, 5,210.30 and 2,067.89

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Solution

The fourth proportional to 3,472.66, 5,210.30 and 2,067.89 is: 3,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.66 : 5,210.30 = 2,067.89 : x
  2. Step 2: Convert to fraction form
    3,472.66/5,210.30 = 2,067.89/x
  3. Step 3: Cross multiply
    3,472.66x = 5,210.30 × 2,067.89
  4. Step 4: Simplify right side
    3,472.66x = 10,774,341.59
  5. Step 5: Solve for x
    x = 10,774,341.59/3,472.66
  6. Step 6: Final answer
    x = 3,102.62

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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.