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Finding the Fourth Proportional to 5,077.11, 7,007.76 and 2,982.63

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Solution

The fourth proportional to 5,077.11, 7,007.76 and 2,982.63 is: 4,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.11 : 7,007.76 = 2,982.63 : x
  2. Step 2: Convert to fraction form
    5,077.11/7,007.76 = 2,982.63/x
  3. Step 3: Cross multiply
    5,077.11x = 7,007.76 × 2,982.63
  4. Step 4: Simplify right side
    5,077.11x = 20,901,555.21
  5. Step 5: Solve for x
    x = 20,901,555.21/5,077.11
  6. Step 6: Final answer
    x = 4,116.82

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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.