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Finding the Fourth Proportional to 3,585.80, 5,380.22 and 1,943.48

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Solution

The fourth proportional to 3,585.80, 5,380.22 and 1,943.48 is: 2,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.80 : 5,380.22 = 1,943.48 : x
  2. Step 2: Convert to fraction form
    3,585.80/5,380.22 = 1,943.48/x
  3. Step 3: Cross multiply
    3,585.80x = 5,380.22 × 1,943.48
  4. Step 4: Simplify right side
    3,585.80x = 10,456,368.27
  5. Step 5: Solve for x
    x = 10,456,368.27/3,585.80
  6. Step 6: Final answer
    x = 2,916.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.