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Finding the Fourth Proportional to 3,918.84, 5,878.42 and 997.18

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Solution

The fourth proportional to 3,918.84, 5,878.42 and 997.18 is: 1,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.84 : 5,878.42 = 997.18 : x
  2. Step 2: Convert to fraction form
    3,918.84/5,878.42 = 997.18/x
  3. Step 3: Cross multiply
    3,918.84x = 5,878.42 × 997.18
  4. Step 4: Simplify right side
    3,918.84x = 5,861,842.86
  5. Step 5: Solve for x
    x = 5,861,842.86/3,918.84
  6. Step 6: Final answer
    x = 1,495.81

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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.