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Finding the Fourth Proportional to 5,888.64, 8,826.48 and 3,936

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Solution

The fourth proportional to 5,888.64, 8,826.48 and 3,936 is: 5,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.64 : 8,826.48 = 3,936 : x
  2. Step 2: Convert to fraction form
    5,888.64/8,826.48 = 3,936/x
  3. Step 3: Cross multiply
    5,888.64x = 8,826.48 × 3,936
  4. Step 4: Simplify right side
    5,888.64x = 34,741,025.28
  5. Step 5: Solve for x
    x = 34,741,025.28/5,888.64
  6. Step 6: Final answer
    x = 5,899.67

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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.