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Finding the Fourth Proportional to 5,107.66, 7,049.77 and 3,119.88

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Solution

The fourth proportional to 5,107.66, 7,049.77 and 3,119.88 is: 4,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.66 : 7,049.77 = 3,119.88 : x
  2. Step 2: Convert to fraction form
    5,107.66/7,049.77 = 3,119.88/x
  3. Step 3: Cross multiply
    5,107.66x = 7,049.77 × 3,119.88
  4. Step 4: Simplify right side
    5,107.66x = 21,994,455.06
  5. Step 5: Solve for x
    x = 21,994,455.06/5,107.66
  6. Step 6: Final answer
    x = 4,306.17

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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.