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Finding the Fourth Proportional to 5,702.41, 7,871.21 and 3,344.50

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Solution

The fourth proportional to 5,702.41, 7,871.21 and 3,344.50 is: 4,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.41 : 7,871.21 = 3,344.50 : x
  2. Step 2: Convert to fraction form
    5,702.41/7,871.21 = 3,344.50/x
  3. Step 3: Cross multiply
    5,702.41x = 7,871.21 × 3,344.50
  4. Step 4: Simplify right side
    5,702.41x = 26,325,261.85
  5. Step 5: Solve for x
    x = 26,325,261.85/5,702.41
  6. Step 6: Final answer
    x = 4,616.52

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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.