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Finding the Fourth Proportional to 5,759.84, 8,638.68 and 2,061.92

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Solution

The fourth proportional to 5,759.84, 8,638.68 and 2,061.92 is: 3,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.84 : 8,638.68 = 2,061.92 : x
  2. Step 2: Convert to fraction form
    5,759.84/8,638.68 = 2,061.92/x
  3. Step 3: Cross multiply
    5,759.84x = 8,638.68 × 2,061.92
  4. Step 4: Simplify right side
    5,759.84x = 17,812,267.07
  5. Step 5: Solve for x
    x = 17,812,267.07/5,759.84
  6. Step 6: Final answer
    x = 3,092.49

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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.