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Finding the Fourth Proportional to 4,122.84, 6,185.02 and 2,149.40

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Solution

The fourth proportional to 4,122.84, 6,185.02 and 2,149.40 is: 3,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.84 : 6,185.02 = 2,149.40 : x
  2. Step 2: Convert to fraction form
    4,122.84/6,185.02 = 2,149.40/x
  3. Step 3: Cross multiply
    4,122.84x = 6,185.02 × 2,149.40
  4. Step 4: Simplify right side
    4,122.84x = 13,294,081.99
  5. Step 5: Solve for x
    x = 13,294,081.99/4,122.84
  6. Step 6: Final answer
    x = 3,224.50

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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.