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Finding the Fourth Proportional to 5,906.17, 8,134.68 and 5,462.74

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Solution

The fourth proportional to 5,906.17, 8,134.68 and 5,462.74 is: 7,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.17 : 8,134.68 = 5,462.74 : x
  2. Step 2: Convert to fraction form
    5,906.17/8,134.68 = 5,462.74/x
  3. Step 3: Cross multiply
    5,906.17x = 8,134.68 × 5,462.74
  4. Step 4: Simplify right side
    5,906.17x = 44,437,641.82
  5. Step 5: Solve for x
    x = 44,437,641.82/5,906.17
  6. Step 6: Final answer
    x = 7,523.94

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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.