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Finding the Fourth Proportional to 4,213.84, 5,808.08 and 3,860.88

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Solution

The fourth proportional to 4,213.84, 5,808.08 and 3,860.88 is: 5,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.84 : 5,808.08 = 3,860.88 : x
  2. Step 2: Convert to fraction form
    4,213.84/5,808.08 = 3,860.88/x
  3. Step 3: Cross multiply
    4,213.84x = 5,808.08 × 3,860.88
  4. Step 4: Simplify right side
    4,213.84x = 22,424,299.91
  5. Step 5: Solve for x
    x = 22,424,299.91/4,213.84
  6. Step 6: Final answer
    x = 5,321.58

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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.