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Finding the Fourth Proportional to 5,578.56, 7,696.62 and 3,340.80

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Solution

The fourth proportional to 5,578.56, 7,696.62 and 3,340.80 is: 4,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.56 : 7,696.62 = 3,340.80 : x
  2. Step 2: Convert to fraction form
    5,578.56/7,696.62 = 3,340.80/x
  3. Step 3: Cross multiply
    5,578.56x = 7,696.62 × 3,340.80
  4. Step 4: Simplify right side
    5,578.56x = 25,712,868.10
  5. Step 5: Solve for x
    x = 25,712,868.10/5,578.56
  6. Step 6: Final answer
    x = 4,609.23

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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.