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Finding the Fourth Proportional to 5,046.57, 6,969.69 and 3,375

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Solution

The fourth proportional to 5,046.57, 6,969.69 and 3,375 is: 4,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.57 : 6,969.69 = 3,375 : x
  2. Step 2: Convert to fraction form
    5,046.57/6,969.69 = 3,375/x
  3. Step 3: Cross multiply
    5,046.57x = 6,969.69 × 3,375
  4. Step 4: Simplify right side
    5,046.57x = 23,522,703.75
  5. Step 5: Solve for x
    x = 23,522,703.75/5,046.57
  6. Step 6: Final answer
    x = 4,661.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.