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Finding the Fourth Proportional to 5,695.66, 7,863.57 and 4,366.81

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Solution

The fourth proportional to 5,695.66, 7,863.57 and 4,366.81 is: 6,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.66 : 7,863.57 = 4,366.81 : x
  2. Step 2: Convert to fraction form
    5,695.66/7,863.57 = 4,366.81/x
  3. Step 3: Cross multiply
    5,695.66x = 7,863.57 × 4,366.81
  4. Step 4: Simplify right side
    5,695.66x = 34,338,654.96
  5. Step 5: Solve for x
    x = 34,338,654.96/5,695.66
  6. Step 6: Final answer
    x = 6,028.92

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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.