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Finding the Fourth Proportional to 3,375.89, 5,064.64 and 1,295.91

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Solution

The fourth proportional to 3,375.89, 5,064.64 and 1,295.91 is: 1,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.89 : 5,064.64 = 1,295.91 : x
  2. Step 2: Convert to fraction form
    3,375.89/5,064.64 = 1,295.91/x
  3. Step 3: Cross multiply
    3,375.89x = 5,064.64 × 1,295.91
  4. Step 4: Simplify right side
    3,375.89x = 6,563,285.82
  5. Step 5: Solve for x
    x = 6,563,285.82/3,375.89
  6. Step 6: Final answer
    x = 1,944.17

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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.