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Finding the Fourth Proportional to 3,506.23, 4,828.75 and 3,429.68

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Solution

The fourth proportional to 3,506.23, 4,828.75 and 3,429.68 is: 4,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.23 : 4,828.75 = 3,429.68 : x
  2. Step 2: Convert to fraction form
    3,506.23/4,828.75 = 3,429.68/x
  3. Step 3: Cross multiply
    3,506.23x = 4,828.75 × 3,429.68
  4. Step 4: Simplify right side
    3,506.23x = 16,561,067.30
  5. Step 5: Solve for x
    x = 16,561,067.30/3,506.23
  6. Step 6: Final answer
    x = 4,723.33

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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.