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Finding the Fourth Proportional to 5,971.89, 8,957.84 and 2,076.30

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Solution

The fourth proportional to 5,971.89, 8,957.84 and 2,076.30 is: 3,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.89 : 8,957.84 = 2,076.30 : x
  2. Step 2: Convert to fraction form
    5,971.89/8,957.84 = 2,076.30/x
  3. Step 3: Cross multiply
    5,971.89x = 8,957.84 × 2,076.30
  4. Step 4: Simplify right side
    5,971.89x = 18,599,163.19
  5. Step 5: Solve for x
    x = 18,599,163.19/5,971.89
  6. Step 6: Final answer
    x = 3,114.45

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1.5x scale

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.