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Finding the Fourth Proportional to 5,187.66, 7,157.70 and 2,949

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Solution

The fourth proportional to 5,187.66, 7,157.70 and 2,949 is: 4,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.66 : 7,157.70 = 2,949 : x
  2. Step 2: Convert to fraction form
    5,187.66/7,157.70 = 2,949/x
  3. Step 3: Cross multiply
    5,187.66x = 7,157.70 × 2,949
  4. Step 4: Simplify right side
    5,187.66x = 21,108,057.30
  5. Step 5: Solve for x
    x = 21,108,057.30/5,187.66
  6. Step 6: Final answer
    x = 4,068.90

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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.