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Finding the Fourth Proportional to 5,931.50, 8,895.90 and 2,234.12

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Solution

The fourth proportional to 5,931.50, 8,895.90 and 2,234.12 is: 3,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.50 : 8,895.90 = 2,234.12 : x
  2. Step 2: Convert to fraction form
    5,931.50/8,895.90 = 2,234.12/x
  3. Step 3: Cross multiply
    5,931.50x = 8,895.90 × 2,234.12
  4. Step 4: Simplify right side
    5,931.50x = 19,874,508.11
  5. Step 5: Solve for x
    x = 19,874,508.11/5,931.50
  6. Step 6: Final answer
    x = 3,350.67

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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.