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Finding the Fourth Proportional to 5,906.37, 8,151.36 and 4,411.69

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Solution

The fourth proportional to 5,906.37, 8,151.36 and 4,411.69 is: 6,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.37 : 8,151.36 = 4,411.69 : x
  2. Step 2: Convert to fraction form
    5,906.37/8,151.36 = 4,411.69/x
  3. Step 3: Cross multiply
    5,906.37x = 8,151.36 × 4,411.69
  4. Step 4: Simplify right side
    5,906.37x = 35,961,273.40
  5. Step 5: Solve for x
    x = 35,961,273.40/5,906.37
  6. Step 6: Final answer
    x = 6,088.56

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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.