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Finding the Fourth Proportional to 3,246.50, 4,869.84 and 938

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Solution

The fourth proportional to 3,246.50, 4,869.84 and 938 is: 1,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.50 : 4,869.84 = 938 : x
  2. Step 2: Convert to fraction form
    3,246.50/4,869.84 = 938/x
  3. Step 3: Cross multiply
    3,246.50x = 4,869.84 × 938
  4. Step 4: Simplify right side
    3,246.50x = 4,567,909.92
  5. Step 5: Solve for x
    x = 4,567,909.92/3,246.50
  6. Step 6: Final answer
    x = 1,407.03

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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.