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Finding the Fourth Proportional to 4,877.92, 7,303.92 and 3,813.12

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Solution

The fourth proportional to 4,877.92, 7,303.92 and 3,813.12 is: 5,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.92 : 7,303.92 = 3,813.12 : x
  2. Step 2: Convert to fraction form
    4,877.92/7,303.92 = 3,813.12/x
  3. Step 3: Cross multiply
    4,877.92x = 7,303.92 × 3,813.12
  4. Step 4: Simplify right side
    4,877.92x = 27,850,723.43
  5. Step 5: Solve for x
    x = 27,850,723.43/4,877.92
  6. Step 6: Final answer
    x = 5,709.55

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Why These Related Problems?

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