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Finding the Fourth Proportional to 5,309.94, 7,963.28 and 3,470.82

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Solution

The fourth proportional to 5,309.94, 7,963.28 and 3,470.82 is: 5,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.94 : 7,963.28 = 3,470.82 : x
  2. Step 2: Convert to fraction form
    5,309.94/7,963.28 = 3,470.82/x
  3. Step 3: Cross multiply
    5,309.94x = 7,963.28 × 3,470.82
  4. Step 4: Simplify right side
    5,309.94x = 27,639,111.49
  5. Step 5: Solve for x
    x = 27,639,111.49/5,309.94
  6. Step 6: Final answer
    x = 5,205.16

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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.