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Finding the Fourth Proportional to 4,838.92, 7,253.72 and 3,078.44

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Solution

The fourth proportional to 4,838.92, 7,253.72 and 3,078.44 is: 4,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.92 : 7,253.72 = 3,078.44 : x
  2. Step 2: Convert to fraction form
    4,838.92/7,253.72 = 3,078.44/x
  3. Step 3: Cross multiply
    4,838.92x = 7,253.72 × 3,078.44
  4. Step 4: Simplify right side
    4,838.92x = 22,330,141.80
  5. Step 5: Solve for x
    x = 22,330,141.80/4,838.92
  6. Step 6: Final answer
    x = 4,614.70

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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.