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Finding the Fourth Proportional to 5,539.84, 7,644.89 and 3,022.07

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Solution

The fourth proportional to 5,539.84, 7,644.89 and 3,022.07 is: 4,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.84 : 7,644.89 = 3,022.07 : x
  2. Step 2: Convert to fraction form
    5,539.84/7,644.89 = 3,022.07/x
  3. Step 3: Cross multiply
    5,539.84x = 7,644.89 × 3,022.07
  4. Step 4: Simplify right side
    5,539.84x = 23,103,362.05
  5. Step 5: Solve for x
    x = 23,103,362.05/5,539.84
  6. Step 6: Final answer
    x = 4,170.40

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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.