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Finding the Fourth Proportional to 5,702.33, 7,869.35 and 3,184.34

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Solution

The fourth proportional to 5,702.33, 7,869.35 and 3,184.34 is: 4,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.33 : 7,869.35 = 3,184.34 : x
  2. Step 2: Convert to fraction form
    5,702.33/7,869.35 = 3,184.34/x
  3. Step 3: Cross multiply
    5,702.33x = 7,869.35 × 3,184.34
  4. Step 4: Simplify right side
    5,702.33x = 25,058,654.59
  5. Step 5: Solve for x
    x = 25,058,654.59/5,702.33
  6. Step 6: Final answer
    x = 4,394.46

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