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Finding the Fourth Proportional to 6,379.16, 8,802.88 and 3,584.66

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Solution

The fourth proportional to 6,379.16, 8,802.88 and 3,584.66 is: 4,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.16 : 8,802.88 = 3,584.66 : x
  2. Step 2: Convert to fraction form
    6,379.16/8,802.88 = 3,584.66/x
  3. Step 3: Cross multiply
    6,379.16x = 8,802.88 × 3,584.66
  4. Step 4: Simplify right side
    6,379.16x = 31,555,278.84
  5. Step 5: Solve for x
    x = 31,555,278.84/6,379.16
  6. Step 6: Final answer
    x = 4,946.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.