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Finding the Fourth Proportional to 4,194.25, 5,787.65 and 2,425.82

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Solution

The fourth proportional to 4,194.25, 5,787.65 and 2,425.82 is: 3,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.25 : 5,787.65 = 2,425.82 : x
  2. Step 2: Convert to fraction form
    4,194.25/5,787.65 = 2,425.82/x
  3. Step 3: Cross multiply
    4,194.25x = 5,787.65 × 2,425.82
  4. Step 4: Simplify right side
    4,194.25x = 14,039,774.25
  5. Step 5: Solve for x
    x = 14,039,774.25/4,194.25
  6. Step 6: Final answer
    x = 3,347.39

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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.