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Finding the Fourth Proportional to 4,182.84, 5,772.06 and 2,414.16

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Solution

The fourth proportional to 4,182.84, 5,772.06 and 2,414.16 is: 3,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.84 : 5,772.06 = 2,414.16 : x
  2. Step 2: Convert to fraction form
    4,182.84/5,772.06 = 2,414.16/x
  3. Step 3: Cross multiply
    4,182.84x = 5,772.06 × 2,414.16
  4. Step 4: Simplify right side
    4,182.84x = 13,934,676.37
  5. Step 5: Solve for x
    x = 13,934,676.37/4,182.84
  6. Step 6: Final answer
    x = 3,331.39

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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.