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Finding the Fourth Proportional to 5,971.76, 8,961.76 and 2,076.16

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Solution

The fourth proportional to 5,971.76, 8,961.76 and 2,076.16 is: 3,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.76 : 8,961.76 = 2,076.16 : x
  2. Step 2: Convert to fraction form
    5,971.76/8,961.76 = 2,076.16/x
  3. Step 3: Cross multiply
    5,971.76x = 8,961.76 × 2,076.16
  4. Step 4: Simplify right side
    5,971.76x = 18,606,047.64
  5. Step 5: Solve for x
    x = 18,606,047.64/5,971.76
  6. Step 6: Final answer
    x = 3,115.67

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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.