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Finding the Fourth Proportional to 5,161.32, 7,702.43 and 4,607.73

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Solution

The fourth proportional to 5,161.32, 7,702.43 and 4,607.73 is: 6,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.32 : 7,702.43 = 4,607.73 : x
  2. Step 2: Convert to fraction form
    5,161.32/7,702.43 = 4,607.73/x
  3. Step 3: Cross multiply
    5,161.32x = 7,702.43 × 4,607.73
  4. Step 4: Simplify right side
    5,161.32x = 35,490,694.75
  5. Step 5: Solve for x
    x = 35,490,694.75/5,161.32
  6. Step 6: Final answer
    x = 6,876.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.