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Finding the Fourth Proportional to 4,116.57, 5,678.91 and 2,997

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Solution

The fourth proportional to 4,116.57, 5,678.91 and 2,997 is: 4,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.57 : 5,678.91 = 2,997 : x
  2. Step 2: Convert to fraction form
    4,116.57/5,678.91 = 2,997/x
  3. Step 3: Cross multiply
    4,116.57x = 5,678.91 × 2,997
  4. Step 4: Simplify right side
    4,116.57x = 17,019,693.27
  5. Step 5: Solve for x
    x = 17,019,693.27/4,116.57
  6. Step 6: Final answer
    x = 4,134.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.