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Finding the Fourth Proportional to 4,607.92, 6,354.12 and 3,034

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Solution

The fourth proportional to 4,607.92, 6,354.12 and 3,034 is: 4,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.92 : 6,354.12 = 3,034 : x
  2. Step 2: Convert to fraction form
    4,607.92/6,354.12 = 3,034/x
  3. Step 3: Cross multiply
    4,607.92x = 6,354.12 × 3,034
  4. Step 4: Simplify right side
    4,607.92x = 19,278,400.08
  5. Step 5: Solve for x
    x = 19,278,400.08/4,607.92
  6. Step 6: Final answer
    x = 4,183.75

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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.