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Finding the Fourth Proportional to 3,471.69, 5,207.74 and 1,281.94

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Solution

The fourth proportional to 3,471.69, 5,207.74 and 1,281.94 is: 1,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.69 : 5,207.74 = 1,281.94 : x
  2. Step 2: Convert to fraction form
    3,471.69/5,207.74 = 1,281.94/x
  3. Step 3: Cross multiply
    3,471.69x = 5,207.74 × 1,281.94
  4. Step 4: Simplify right side
    3,471.69x = 6,676,010.22
  5. Step 5: Solve for x
    x = 6,676,010.22/3,471.69
  6. Step 6: Final answer
    x = 1,922.99

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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.