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Finding the Fourth Proportional to 5,712.86, 8,573.85 and 5,530.61

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Solution

The fourth proportional to 5,712.86, 8,573.85 and 5,530.61 is: 8,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.86 : 8,573.85 = 5,530.61 : x
  2. Step 2: Convert to fraction form
    5,712.86/8,573.85 = 5,530.61/x
  3. Step 3: Cross multiply
    5,712.86x = 8,573.85 × 5,530.61
  4. Step 4: Simplify right side
    5,712.86x = 47,418,620.55
  5. Step 5: Solve for x
    x = 47,418,620.55/5,712.86
  6. Step 6: Final answer
    x = 8,300.33

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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.