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Finding the Fourth Proportional to 5,817.24, 8,725.79 and 1,434.71

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Solution

The fourth proportional to 5,817.24, 8,725.79 and 1,434.71 is: 2,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.24 : 8,725.79 = 1,434.71 : x
  2. Step 2: Convert to fraction form
    5,817.24/8,725.79 = 1,434.71/x
  3. Step 3: Cross multiply
    5,817.24x = 8,725.79 × 1,434.71
  4. Step 4: Simplify right side
    5,817.24x = 12,519,003.57
  5. Step 5: Solve for x
    x = 12,519,003.57/5,817.24
  6. Step 6: Final answer
    x = 2,152.05

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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.