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Finding the Fourth Proportional to 3,684.63, 5,067.36 and 2,929.71

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Solution

The fourth proportional to 3,684.63, 5,067.36 and 2,929.71 is: 4,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.63 : 5,067.36 = 2,929.71 : x
  2. Step 2: Convert to fraction form
    3,684.63/5,067.36 = 2,929.71/x
  3. Step 3: Cross multiply
    3,684.63x = 5,067.36 × 2,929.71
  4. Step 4: Simplify right side
    3,684.63x = 14,845,895.27
  5. Step 5: Solve for x
    x = 14,845,895.27/3,684.63
  6. Step 6: Final answer
    x = 4,029.14

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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.