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Finding the Fourth Proportional to 5,578.93, 7,698.67 and 3,060.98

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Solution

The fourth proportional to 5,578.93, 7,698.67 and 3,060.98 is: 4,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.93 : 7,698.67 = 3,060.98 : x
  2. Step 2: Convert to fraction form
    5,578.93/7,698.67 = 3,060.98/x
  3. Step 3: Cross multiply
    5,578.93x = 7,698.67 × 3,060.98
  4. Step 4: Simplify right side
    5,578.93x = 23,565,457.62
  5. Step 5: Solve for x
    x = 23,565,457.62/5,578.93
  6. Step 6: Final answer
    x = 4,224.01

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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.