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Finding the Fourth Proportional to 3,247.47, 4,871.19 and 1,299.67

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Solution

The fourth proportional to 3,247.47, 4,871.19 and 1,299.67 is: 1,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.47 : 4,871.19 = 1,299.67 : x
  2. Step 2: Convert to fraction form
    3,247.47/4,871.19 = 1,299.67/x
  3. Step 3: Cross multiply
    3,247.47x = 4,871.19 × 1,299.67
  4. Step 4: Simplify right side
    3,247.47x = 6,330,939.51
  5. Step 5: Solve for x
    x = 6,330,939.51/3,247.47
  6. Step 6: Final answer
    x = 1,949.50

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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.