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Finding the Fourth Proportional to 5,335.66, 8,007.77 and 2,414.22

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Solution

The fourth proportional to 5,335.66, 8,007.77 and 2,414.22 is: 3,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.66 : 8,007.77 = 2,414.22 : x
  2. Step 2: Convert to fraction form
    5,335.66/8,007.77 = 2,414.22/x
  3. Step 3: Cross multiply
    5,335.66x = 8,007.77 × 2,414.22
  4. Step 4: Simplify right side
    5,335.66x = 19,332,518.49
  5. Step 5: Solve for x
    x = 19,332,518.49/5,335.66
  6. Step 6: Final answer
    x = 3,623.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.