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Finding the Fourth Proportional to 5,702.27, 7,869.09 and 3,184.35

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Solution

The fourth proportional to 5,702.27, 7,869.09 and 3,184.35 is: 4,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.27 : 7,869.09 = 3,184.35 : x
  2. Step 2: Convert to fraction form
    5,702.27/7,869.09 = 3,184.35/x
  3. Step 3: Cross multiply
    5,702.27x = 7,869.09 × 3,184.35
  4. Step 4: Simplify right side
    5,702.27x = 25,057,936.74
  5. Step 5: Solve for x
    x = 25,057,936.74/5,702.27
  6. Step 6: Final answer
    x = 4,394.38

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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.