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Finding the Fourth Proportional to 4,092.84, 5,648.04 and 2,229.84

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Solution

The fourth proportional to 4,092.84, 5,648.04 and 2,229.84 is: 3,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.84 : 5,648.04 = 2,229.84 : x
  2. Step 2: Convert to fraction form
    4,092.84/5,648.04 = 2,229.84/x
  3. Step 3: Cross multiply
    4,092.84x = 5,648.04 × 2,229.84
  4. Step 4: Simplify right side
    4,092.84x = 12,594,225.51
  5. Step 5: Solve for x
    x = 12,594,225.51/4,092.84
  6. Step 6: Final answer
    x = 3,077.14

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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.