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Finding the Fourth Proportional to 5,813.64, 8,722.62 and 2,695.14

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Solution

The fourth proportional to 5,813.64, 8,722.62 and 2,695.14 is: 4,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.64 : 8,722.62 = 2,695.14 : x
  2. Step 2: Convert to fraction form
    5,813.64/8,722.62 = 2,695.14/x
  3. Step 3: Cross multiply
    5,813.64x = 8,722.62 × 2,695.14
  4. Step 4: Simplify right side
    5,813.64x = 23,508,682.07
  5. Step 5: Solve for x
    x = 23,508,682.07/5,813.64
  6. Step 6: Final answer
    x = 4,043.71

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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.