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Finding the Fourth Proportional to 4,207.84, 5,795.88 and 3,203.44

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Solution

The fourth proportional to 4,207.84, 5,795.88 and 3,203.44 is: 4,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.84 : 5,795.88 = 3,203.44 : x
  2. Step 2: Convert to fraction form
    4,207.84/5,795.88 = 3,203.44/x
  3. Step 3: Cross multiply
    4,207.84x = 5,795.88 × 3,203.44
  4. Step 4: Simplify right side
    4,207.84x = 18,566,753.83
  5. Step 5: Solve for x
    x = 18,566,753.83/4,207.84
  6. Step 6: Final answer
    x = 4,412.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.