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Finding the Fourth Proportional to 4,234.50, 6,352.11 and 1,156.50

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Solution

The fourth proportional to 4,234.50, 6,352.11 and 1,156.50 is: 1,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.50 : 6,352.11 = 1,156.50 : x
  2. Step 2: Convert to fraction form
    4,234.50/6,352.11 = 1,156.50/x
  3. Step 3: Cross multiply
    4,234.50x = 6,352.11 × 1,156.50
  4. Step 4: Simplify right side
    4,234.50x = 7,346,215.22
  5. Step 5: Solve for x
    x = 7,346,215.22/4,234.50
  6. Step 6: Final answer
    x = 1,734.85

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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.