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Finding the Fourth Proportional to 3,802.35, 5,694.70 and 3,670.94

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Solution

The fourth proportional to 3,802.35, 5,694.70 and 3,670.94 is: 5,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.35 : 5,694.70 = 3,670.94 : x
  2. Step 2: Convert to fraction form
    3,802.35/5,694.70 = 3,670.94/x
  3. Step 3: Cross multiply
    3,802.35x = 5,694.70 × 3,670.94
  4. Step 4: Simplify right side
    3,802.35x = 20,904,902.02
  5. Step 5: Solve for x
    x = 20,904,902.02/3,802.35
  6. Step 6: Final answer
    x = 5,497.89

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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.