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Finding the Fourth Proportional to 4,479.08, 6,178.98 and 3,857

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Solution

The fourth proportional to 4,479.08, 6,178.98 and 3,857 is: 5,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,479.08 : 6,178.98 = 3,857 : x
  2. Step 2: Convert to fraction form
    4,479.08/6,178.98 = 3,857/x
  3. Step 3: Cross multiply
    4,479.08x = 6,178.98 × 3,857
  4. Step 4: Simplify right side
    4,479.08x = 23,832,325.86
  5. Step 5: Solve for x
    x = 23,832,325.86/4,479.08
  6. Step 6: Final answer
    x = 5,320.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.