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Finding the Fourth Proportional to 4,234.69, 6,352.74 and 1,312.41

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Solution

The fourth proportional to 4,234.69, 6,352.74 and 1,312.41 is: 1,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.69 : 6,352.74 = 1,312.41 : x
  2. Step 2: Convert to fraction form
    4,234.69/6,352.74 = 1,312.41/x
  3. Step 3: Cross multiply
    4,234.69x = 6,352.74 × 1,312.41
  4. Step 4: Simplify right side
    4,234.69x = 8,337,399.50
  5. Step 5: Solve for x
    x = 8,337,399.50/4,234.69
  6. Step 6: Final answer
    x = 1,968.83

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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.