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Finding the Fourth Proportional to 5,874, 8,110.44 and 4,007.76

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Solution

The fourth proportional to 5,874, 8,110.44 and 4,007.76 is: 5,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874 : 8,110.44 = 4,007.76 : x
  2. Step 2: Convert to fraction form
    5,874/8,110.44 = 4,007.76/x
  3. Step 3: Cross multiply
    5,874x = 8,110.44 × 4,007.76
  4. Step 4: Simplify right side
    5,874x = 32,504,697.01
  5. Step 5: Solve for x
    x = 32,504,697.01/5,874
  6. Step 6: Final answer
    x = 5,533.66

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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.