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Finding the Fourth Proportional to 4,006.71, 5,979.47 and 3,569.31

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Solution

The fourth proportional to 4,006.71, 5,979.47 and 3,569.31 is: 5,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.71 : 5,979.47 = 3,569.31 : x
  2. Step 2: Convert to fraction form
    4,006.71/5,979.47 = 3,569.31/x
  3. Step 3: Cross multiply
    4,006.71x = 5,979.47 × 3,569.31
  4. Step 4: Simplify right side
    4,006.71x = 21,342,564.22
  5. Step 5: Solve for x
    x = 21,342,564.22/4,006.71
  6. Step 6: Final answer
    x = 5,326.71

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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.