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Finding the Fourth Proportional to 5,971.77, 8,959.19 and 4,220.25

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Solution

The fourth proportional to 5,971.77, 8,959.19 and 4,220.25 is: 6,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.77 : 8,959.19 = 4,220.25 : x
  2. Step 2: Convert to fraction form
    5,971.77/8,959.19 = 4,220.25/x
  3. Step 3: Cross multiply
    5,971.77x = 8,959.19 × 4,220.25
  4. Step 4: Simplify right side
    5,971.77x = 37,810,000.50
  5. Step 5: Solve for x
    x = 37,810,000.50/5,971.77
  6. Step 6: Final answer
    x = 6,331.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.