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Finding the Fourth Proportional to 5,664.86, 8,488.06 and 3,468.98

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Solution

The fourth proportional to 5,664.86, 8,488.06 and 3,468.98 is: 5,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.86 : 8,488.06 = 3,468.98 : x
  2. Step 2: Convert to fraction form
    5,664.86/8,488.06 = 3,468.98/x
  3. Step 3: Cross multiply
    5,664.86x = 8,488.06 × 3,468.98
  4. Step 4: Simplify right side
    5,664.86x = 29,444,910.38
  5. Step 5: Solve for x
    x = 29,444,910.38/5,664.86
  6. Step 6: Final answer
    x = 5,197.82

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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.