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Finding the Fourth Proportional to 3,660.84, 5,496 and 3,144.18

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Solution

The fourth proportional to 3,660.84, 5,496 and 3,144.18 is: 4,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.84 : 5,496 = 3,144.18 : x
  2. Step 2: Convert to fraction form
    3,660.84/5,496 = 3,144.18/x
  3. Step 3: Cross multiply
    3,660.84x = 5,496 × 3,144.18
  4. Step 4: Simplify right side
    3,660.84x = 17,280,413.28
  5. Step 5: Solve for x
    x = 17,280,413.28/3,660.84
  6. Step 6: Final answer
    x = 4,720.34

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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.