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Finding the Fourth Proportional to 5,813.75, 8,722.46 and 2,115

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Solution

The fourth proportional to 5,813.75, 8,722.46 and 2,115 is: 3,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.75 : 8,722.46 = 2,115 : x
  2. Step 2: Convert to fraction form
    5,813.75/8,722.46 = 2,115/x
  3. Step 3: Cross multiply
    5,813.75x = 8,722.46 × 2,115
  4. Step 4: Simplify right side
    5,813.75x = 18,448,008.19
  5. Step 5: Solve for x
    x = 18,448,008.19/5,813.75
  6. Step 6: Final answer
    x = 3,173.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.