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Finding the Fourth Proportional to 3,869.93, 5,340.62 and 2,191.31

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Solution

The fourth proportional to 3,869.93, 5,340.62 and 2,191.31 is: 3,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.93 : 5,340.62 = 2,191.31 : x
  2. Step 2: Convert to fraction form
    3,869.93/5,340.62 = 2,191.31/x
  3. Step 3: Cross multiply
    3,869.93x = 5,340.62 × 2,191.31
  4. Step 4: Simplify right side
    3,869.93x = 11,702,916.35
  5. Step 5: Solve for x
    x = 11,702,916.35/3,869.93
  6. Step 6: Final answer
    x = 3,024.07

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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.