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Finding the Fourth Proportional to 3,971.84, 5,961 and 2,024.60

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Solution

The fourth proportional to 3,971.84, 5,961 and 2,024.60 is: 3,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.84 : 5,961 = 2,024.60 : x
  2. Step 2: Convert to fraction form
    3,971.84/5,961 = 2,024.60/x
  3. Step 3: Cross multiply
    3,971.84x = 5,961 × 2,024.60
  4. Step 4: Simplify right side
    3,971.84x = 12,068,640.60
  5. Step 5: Solve for x
    x = 12,068,640.60/3,971.84
  6. Step 6: Final answer
    x = 3,038.55

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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.