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Finding the Fourth Proportional to 5,811.66, 8,717.42 and 1,429.16

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Solution

The fourth proportional to 5,811.66, 8,717.42 and 1,429.16 is: 2,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.66 : 8,717.42 = 1,429.16 : x
  2. Step 2: Convert to fraction form
    5,811.66/8,717.42 = 1,429.16/x
  3. Step 3: Cross multiply
    5,811.66x = 8,717.42 × 1,429.16
  4. Step 4: Simplify right side
    5,811.66x = 12,458,537.23
  5. Step 5: Solve for x
    x = 12,458,537.23/5,811.66
  6. Step 6: Final answer
    x = 2,143.71

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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.