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Finding the Fourth Proportional to 4,794.96, 6,614.52 and 3,114.12

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Solution

The fourth proportional to 4,794.96, 6,614.52 and 3,114.12 is: 4,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.96 : 6,614.52 = 3,114.12 : x
  2. Step 2: Convert to fraction form
    4,794.96/6,614.52 = 3,114.12/x
  3. Step 3: Cross multiply
    4,794.96x = 6,614.52 × 3,114.12
  4. Step 4: Simplify right side
    4,794.96x = 20,598,409.02
  5. Step 5: Solve for x
    x = 20,598,409.02/4,794.96
  6. Step 6: Final answer
    x = 4,295.85

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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.