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Finding the Fourth Proportional to 3,247.36, 4,866.42 and 2,513.50

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Solution

The fourth proportional to 3,247.36, 4,866.42 and 2,513.50 is: 3,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.36 : 4,866.42 = 2,513.50 : x
  2. Step 2: Convert to fraction form
    3,247.36/4,866.42 = 2,513.50/x
  3. Step 3: Cross multiply
    3,247.36x = 4,866.42 × 2,513.50
  4. Step 4: Simplify right side
    3,247.36x = 12,231,746.67
  5. Step 5: Solve for x
    x = 12,231,746.67/3,247.36
  6. Step 6: Final answer
    x = 3,766.67

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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.