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Finding the Fourth Proportional to 4,702.80, 7,046.10 and 2,232.30

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Solution

The fourth proportional to 4,702.80, 7,046.10 and 2,232.30 is: 3,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.80 : 7,046.10 = 2,232.30 : x
  2. Step 2: Convert to fraction form
    4,702.80/7,046.10 = 2,232.30/x
  3. Step 3: Cross multiply
    4,702.80x = 7,046.10 × 2,232.30
  4. Step 4: Simplify right side
    4,702.80x = 15,729,009.03
  5. Step 5: Solve for x
    x = 15,729,009.03/4,702.80
  6. Step 6: Final answer
    x = 3,344.61

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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.