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Finding the Fourth Proportional to 5,664.66, 8,498.20 and 2,375.85

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Solution

The fourth proportional to 5,664.66, 8,498.20 and 2,375.85 is: 3,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.66 : 8,498.20 = 2,375.85 : x
  2. Step 2: Convert to fraction form
    5,664.66/8,498.20 = 2,375.85/x
  3. Step 3: Cross multiply
    5,664.66x = 8,498.20 × 2,375.85
  4. Step 4: Simplify right side
    5,664.66x = 20,190,448.47
  5. Step 5: Solve for x
    x = 20,190,448.47/5,664.66
  6. Step 6: Final answer
    x = 3,564.28

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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.