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Finding the Fourth Proportional to 5,662.88, 7,814.76 and 3,145.24

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Solution

The fourth proportional to 5,662.88, 7,814.76 and 3,145.24 is: 4,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.88 : 7,814.76 = 3,145.24 : x
  2. Step 2: Convert to fraction form
    5,662.88/7,814.76 = 3,145.24/x
  3. Step 3: Cross multiply
    5,662.88x = 7,814.76 × 3,145.24
  4. Step 4: Simplify right side
    5,662.88x = 24,579,293.72
  5. Step 5: Solve for x
    x = 24,579,293.72/5,662.88
  6. Step 6: Final answer
    x = 4,340.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.