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Finding the Fourth Proportional to 5,174.34, 7,721.76 and 4,620.74

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Solution

The fourth proportional to 5,174.34, 7,721.76 and 4,620.74 is: 6,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.34 : 7,721.76 = 4,620.74 : x
  2. Step 2: Convert to fraction form
    5,174.34/7,721.76 = 4,620.74/x
  3. Step 3: Cross multiply
    5,174.34x = 7,721.76 × 4,620.74
  4. Step 4: Simplify right side
    5,174.34x = 35,680,245.30
  5. Step 5: Solve for x
    x = 35,680,245.30/5,174.34
  6. Step 6: Final answer
    x = 6,895.61

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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.