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Finding the Fourth Proportional to 4,627.89, 6,941.88 and 3,702.26

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Solution

The fourth proportional to 4,627.89, 6,941.88 and 3,702.26 is: 5,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.89 : 6,941.88 = 3,702.26 : x
  2. Step 2: Convert to fraction form
    4,627.89/6,941.88 = 3,702.26/x
  3. Step 3: Cross multiply
    4,627.89x = 6,941.88 × 3,702.26
  4. Step 4: Simplify right side
    4,627.89x = 25,700,662.00
  5. Step 5: Solve for x
    x = 25,700,662.00/4,627.89
  6. Step 6: Final answer
    x = 5,553.43

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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.