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Finding the Fourth Proportional to 6,379.47, 8,802.66 and 3,584.43

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Solution

The fourth proportional to 6,379.47, 8,802.66 and 3,584.43 is: 4,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.47 : 8,802.66 = 3,584.43 : x
  2. Step 2: Convert to fraction form
    6,379.47/8,802.66 = 3,584.43/x
  3. Step 3: Cross multiply
    6,379.47x = 8,802.66 × 3,584.43
  4. Step 4: Simplify right side
    6,379.47x = 31,552,518.58
  5. Step 5: Solve for x
    x = 31,552,518.58/6,379.47
  6. Step 6: Final answer
    x = 4,945.95

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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.