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Finding the Fourth Proportional to 5,578.42, 7,698.29 and 3,060.37

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Solution

The fourth proportional to 5,578.42, 7,698.29 and 3,060.37 is: 4,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.42 : 7,698.29 = 3,060.37 : x
  2. Step 2: Convert to fraction form
    5,578.42/7,698.29 = 3,060.37/x
  3. Step 3: Cross multiply
    5,578.42x = 7,698.29 × 3,060.37
  4. Step 4: Simplify right side
    5,578.42x = 23,559,561.97
  5. Step 5: Solve for x
    x = 23,559,561.97/5,578.42
  6. Step 6: Final answer
    x = 4,223.34

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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.