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Finding the Fourth Proportional to 6,220.52, 8,578.68 and 4,121

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Solution

The fourth proportional to 6,220.52, 8,578.68 and 4,121 is: 5,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220.52 : 8,578.68 = 4,121 : x
  2. Step 2: Convert to fraction form
    6,220.52/8,578.68 = 4,121/x
  3. Step 3: Cross multiply
    6,220.52x = 8,578.68 × 4,121
  4. Step 4: Simplify right side
    6,220.52x = 35,352,740.28
  5. Step 5: Solve for x
    x = 35,352,740.28/6,220.52
  6. Step 6: Final answer
    x = 5,683.25

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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.