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Finding the Fourth Proportional to 4,622.90, 6,919.16 and 4,179.83

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Solution

The fourth proportional to 4,622.90, 6,919.16 and 4,179.83 is: 6,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.90 : 6,919.16 = 4,179.83 : x
  2. Step 2: Convert to fraction form
    4,622.90/6,919.16 = 4,179.83/x
  3. Step 3: Cross multiply
    4,622.90x = 6,919.16 × 4,179.83
  4. Step 4: Simplify right side
    4,622.90x = 28,920,857.05
  5. Step 5: Solve for x
    x = 28,920,857.05/4,622.90
  6. Step 6: Final answer
    x = 6,256.01

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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.