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Finding the Fourth Proportional to 5,668.97, 8,470.94 and 4,327.34

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Solution

The fourth proportional to 5,668.97, 8,470.94 and 4,327.34 is: 6,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.97 : 8,470.94 = 4,327.34 : x
  2. Step 2: Convert to fraction form
    5,668.97/8,470.94 = 4,327.34/x
  3. Step 3: Cross multiply
    5,668.97x = 8,470.94 × 4,327.34
  4. Step 4: Simplify right side
    5,668.97x = 36,656,573.51
  5. Step 5: Solve for x
    x = 36,656,573.51/5,668.97
  6. Step 6: Final answer
    x = 6,466.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.