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Finding the Fourth Proportional to 5,957.74, 8,221.69 and 3,305.17

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Solution

The fourth proportional to 5,957.74, 8,221.69 and 3,305.17 is: 4,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.74 : 8,221.69 = 3,305.17 : x
  2. Step 2: Convert to fraction form
    5,957.74/8,221.69 = 3,305.17/x
  3. Step 3: Cross multiply
    5,957.74x = 8,221.69 × 3,305.17
  4. Step 4: Simplify right side
    5,957.74x = 27,174,083.14
  5. Step 5: Solve for x
    x = 27,174,083.14/5,957.74
  6. Step 6: Final answer
    x = 4,561.14

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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.