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Finding the Fourth Proportional to 5,784.43, 8,687.24 and 5,296.46

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Solution

The fourth proportional to 5,784.43, 8,687.24 and 5,296.46 is: 7,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.43 : 8,687.24 = 5,296.46 : x
  2. Step 2: Convert to fraction form
    5,784.43/8,687.24 = 5,296.46/x
  3. Step 3: Cross multiply
    5,784.43x = 8,687.24 × 5,296.46
  4. Step 4: Simplify right side
    5,784.43x = 46,011,575.73
  5. Step 5: Solve for x
    x = 46,011,575.73/5,784.43
  6. Step 6: Final answer
    x = 7,954.38

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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.