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Finding the Fourth Proportional to 3,218.24, 4,827.21 and 878.23

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Solution

The fourth proportional to 3,218.24, 4,827.21 and 878.23 is: 1,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.24 : 4,827.21 = 878.23 : x
  2. Step 2: Convert to fraction form
    3,218.24/4,827.21 = 878.23/x
  3. Step 3: Cross multiply
    3,218.24x = 4,827.21 × 878.23
  4. Step 4: Simplify right side
    3,218.24x = 4,239,425.91
  5. Step 5: Solve for x
    x = 4,239,425.91/3,218.24
  6. Step 6: Final answer
    x = 1,317.31

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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.