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Finding the Fourth Proportional to 4,874.98, 7,302.75 and 3,706.96

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Solution

The fourth proportional to 4,874.98, 7,302.75 and 3,706.96 is: 5,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.98 : 7,302.75 = 3,706.96 : x
  2. Step 2: Convert to fraction form
    4,874.98/7,302.75 = 3,706.96/x
  3. Step 3: Cross multiply
    4,874.98x = 7,302.75 × 3,706.96
  4. Step 4: Simplify right side
    4,874.98x = 27,071,002.14
  5. Step 5: Solve for x
    x = 27,071,002.14/4,874.98
  6. Step 6: Final answer
    x = 5,553.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.