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Finding the Fourth Proportional to 6,234.32, 8,603.35 and 3,439.82

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Solution

The fourth proportional to 6,234.32, 8,603.35 and 3,439.82 is: 4,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.32 : 8,603.35 = 3,439.82 : x
  2. Step 2: Convert to fraction form
    6,234.32/8,603.35 = 3,439.82/x
  3. Step 3: Cross multiply
    6,234.32x = 8,603.35 × 3,439.82
  4. Step 4: Simplify right side
    6,234.32x = 29,593,932.38
  5. Step 5: Solve for x
    x = 29,593,932.38/6,234.32
  6. Step 6: Final answer
    x = 4,746.94

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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.