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Finding the Fourth Proportional to 4,909.44, 7,391.79 and 4,328.17

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Solution

The fourth proportional to 4,909.44, 7,391.79 and 4,328.17 is: 6,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.44 : 7,391.79 = 4,328.17 : x
  2. Step 2: Convert to fraction form
    4,909.44/7,391.79 = 4,328.17/x
  3. Step 3: Cross multiply
    4,909.44x = 7,391.79 × 4,328.17
  4. Step 4: Simplify right side
    4,909.44x = 31,992,923.72
  5. Step 5: Solve for x
    x = 31,992,923.72/4,909.44
  6. Step 6: Final answer
    x = 6,516.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.