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Finding the Fourth Proportional to 5,813.69, 8,720.46 and 1,431.19

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Solution

The fourth proportional to 5,813.69, 8,720.46 and 1,431.19 is: 2,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.69 : 8,720.46 = 1,431.19 : x
  2. Step 2: Convert to fraction form
    5,813.69/8,720.46 = 1,431.19/x
  3. Step 3: Cross multiply
    5,813.69x = 8,720.46 × 1,431.19
  4. Step 4: Simplify right side
    5,813.69x = 12,480,591.55
  5. Step 5: Solve for x
    x = 12,480,591.55/5,813.69
  6. Step 6: Final answer
    x = 2,146.76

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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.