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Finding the Fourth Proportional to 5,171.42, 7,134.81 and 3,404.81

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Solution

The fourth proportional to 5,171.42, 7,134.81 and 3,404.81 is: 4,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.42 : 7,134.81 = 3,404.81 : x
  2. Step 2: Convert to fraction form
    5,171.42/7,134.81 = 3,404.81/x
  3. Step 3: Cross multiply
    5,171.42x = 7,134.81 × 3,404.81
  4. Step 4: Simplify right side
    5,171.42x = 24,292,672.44
  5. Step 5: Solve for x
    x = 24,292,672.44/5,171.42
  6. Step 6: Final answer
    x = 4,697.49

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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.