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Finding the Fourth Proportional to 4,212, 6,310.08 and 3,893.76

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Solution

The fourth proportional to 4,212, 6,310.08 and 3,893.76 is: 5,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 6,310.08 = 3,893.76 : x
  2. Step 2: Convert to fraction form
    4,212/6,310.08 = 3,893.76/x
  3. Step 3: Cross multiply
    4,212x = 6,310.08 × 3,893.76
  4. Step 4: Simplify right side
    4,212x = 24,569,937.10
  5. Step 5: Solve for x
    x = 24,569,937.10/4,212
  6. Step 6: Final answer
    x = 5,833.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.