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Finding the Fourth Proportional to 5,129.66, 7,077.51 and 2,891.40

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Solution

The fourth proportional to 5,129.66, 7,077.51 and 2,891.40 is: 3,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.66 : 7,077.51 = 2,891.40 : x
  2. Step 2: Convert to fraction form
    5,129.66/7,077.51 = 2,891.40/x
  3. Step 3: Cross multiply
    5,129.66x = 7,077.51 × 2,891.40
  4. Step 4: Simplify right side
    5,129.66x = 20,463,912.41
  5. Step 5: Solve for x
    x = 20,463,912.41/5,129.66
  6. Step 6: Final answer
    x = 3,989.34

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Why These Related Problems?

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