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Finding the Fourth Proportional to 5,934.66, 8,192.52 and 3,813.28

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Solution

The fourth proportional to 5,934.66, 8,192.52 and 3,813.28 is: 5,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.66 : 8,192.52 = 3,813.28 : x
  2. Step 2: Convert to fraction form
    5,934.66/8,192.52 = 3,813.28/x
  3. Step 3: Cross multiply
    5,934.66x = 8,192.52 × 3,813.28
  4. Step 4: Simplify right side
    5,934.66x = 31,240,372.67
  5. Step 5: Solve for x
    x = 31,240,372.67/5,934.66
  6. Step 6: Final answer
    x = 5,264.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.