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Finding the Fourth Proportional to 5,143.32, 7,051.46 and 5,049.90

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Solution

The fourth proportional to 5,143.32, 7,051.46 and 5,049.90 is: 6,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.32 : 7,051.46 = 5,049.90 : x
  2. Step 2: Convert to fraction form
    5,143.32/7,051.46 = 5,049.90/x
  3. Step 3: Cross multiply
    5,143.32x = 7,051.46 × 5,049.90
  4. Step 4: Simplify right side
    5,143.32x = 35,609,142.60
  5. Step 5: Solve for x
    x = 35,609,142.60/5,143.32
  6. Step 6: Final answer
    x = 6,923.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.