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Finding the Fourth Proportional to 5,811.69, 8,717.47 and 1,429.19

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Solution

The fourth proportional to 5,811.69, 8,717.47 and 1,429.19 is: 2,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.69 : 8,717.47 = 1,429.19 : x
  2. Step 2: Convert to fraction form
    5,811.69/8,717.47 = 1,429.19/x
  3. Step 3: Cross multiply
    5,811.69x = 8,717.47 × 1,429.19
  4. Step 4: Simplify right side
    5,811.69x = 12,458,873.79
  5. Step 5: Solve for x
    x = 12,458,873.79/5,811.69
  6. Step 6: Final answer
    x = 2,143.76

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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.