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Finding the Fourth Proportional to 4,089.87, 5,644.44 and 2,411.82

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Solution

The fourth proportional to 4,089.87, 5,644.44 and 2,411.82 is: 3,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.87 : 5,644.44 = 2,411.82 : x
  2. Step 2: Convert to fraction form
    4,089.87/5,644.44 = 2,411.82/x
  3. Step 3: Cross multiply
    4,089.87x = 5,644.44 × 2,411.82
  4. Step 4: Simplify right side
    4,089.87x = 13,613,373.28
  5. Step 5: Solve for x
    x = 13,613,373.28/4,089.87
  6. Step 6: Final answer
    x = 3,328.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.