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Finding the Fourth Proportional to 5,663.07, 7,814.84 and 3,145.28

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Solution

The fourth proportional to 5,663.07, 7,814.84 and 3,145.28 is: 4,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.07 : 7,814.84 = 3,145.28 : x
  2. Step 2: Convert to fraction form
    5,663.07/7,814.84 = 3,145.28/x
  3. Step 3: Cross multiply
    5,663.07x = 7,814.84 × 3,145.28
  4. Step 4: Simplify right side
    5,663.07x = 24,579,805.15
  5. Step 5: Solve for x
    x = 24,579,805.15/5,663.07
  6. Step 6: Final answer
    x = 4,340.37

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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.