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Finding the Fourth Proportional to 5,578.56, 7,698.12 and 3,060.63

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Solution

The fourth proportional to 5,578.56, 7,698.12 and 3,060.63 is: 4,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.56 : 7,698.12 = 3,060.63 : x
  2. Step 2: Convert to fraction form
    5,578.56/7,698.12 = 3,060.63/x
  3. Step 3: Cross multiply
    5,578.56x = 7,698.12 × 3,060.63
  4. Step 4: Simplify right side
    5,578.56x = 23,561,097.02
  5. Step 5: Solve for x
    x = 23,561,097.02/5,578.56
  6. Step 6: Final answer
    x = 4,223.51

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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.