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Finding the Fourth Proportional to 5,957.24, 8,218.14 and 3,565.58

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Solution

The fourth proportional to 5,957.24, 8,218.14 and 3,565.58 is: 4,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.24 : 8,218.14 = 3,565.58 : x
  2. Step 2: Convert to fraction form
    5,957.24/8,218.14 = 3,565.58/x
  3. Step 3: Cross multiply
    5,957.24x = 8,218.14 × 3,565.58
  4. Step 4: Simplify right side
    5,957.24x = 29,302,435.62
  5. Step 5: Solve for x
    x = 29,302,435.62/5,957.24
  6. Step 6: Final answer
    x = 4,918.79

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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.