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Finding the Fourth Proportional to 5,141.91, 7,712.91 and 1,246.32

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Solution

The fourth proportional to 5,141.91, 7,712.91 and 1,246.32 is: 1,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.91 : 7,712.91 = 1,246.32 : x
  2. Step 2: Convert to fraction form
    5,141.91/7,712.91 = 1,246.32/x
  3. Step 3: Cross multiply
    5,141.91x = 7,712.91 × 1,246.32
  4. Step 4: Simplify right side
    5,141.91x = 9,612,753.99
  5. Step 5: Solve for x
    x = 9,612,753.99/5,141.91
  6. Step 6: Final answer
    x = 1,869.49

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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.