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Finding the Fourth Proportional to 4,291, 5,916.54 and 2,891.32

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Solution

The fourth proportional to 4,291, 5,916.54 and 2,891.32 is: 3,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291 : 5,916.54 = 2,891.32 : x
  2. Step 2: Convert to fraction form
    4,291/5,916.54 = 2,891.32/x
  3. Step 3: Cross multiply
    4,291x = 5,916.54 × 2,891.32
  4. Step 4: Simplify right side
    4,291x = 17,106,610.43
  5. Step 5: Solve for x
    x = 17,106,610.43/4,291
  6. Step 6: Final answer
    x = 3,986.63

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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.