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Finding the Fourth Proportional to 5,578.97, 7,696.32 and 3,340.42

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Solution

The fourth proportional to 5,578.97, 7,696.32 and 3,340.42 is: 4,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.97 : 7,696.32 = 3,340.42 : x
  2. Step 2: Convert to fraction form
    5,578.97/7,696.32 = 3,340.42/x
  3. Step 3: Cross multiply
    5,578.97x = 7,696.32 × 3,340.42
  4. Step 4: Simplify right side
    5,578.97x = 25,708,922.01
  5. Step 5: Solve for x
    x = 25,708,922.01/5,578.97
  6. Step 6: Final answer
    x = 4,608.19

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1.5x scale

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.