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Finding the Fourth Proportional to 5,904.24, 8,145.78 and 3,663.78

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Solution

The fourth proportional to 5,904.24, 8,145.78 and 3,663.78 is: 5,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.24 : 8,145.78 = 3,663.78 : x
  2. Step 2: Convert to fraction form
    5,904.24/8,145.78 = 3,663.78/x
  3. Step 3: Cross multiply
    5,904.24x = 8,145.78 × 3,663.78
  4. Step 4: Simplify right side
    5,904.24x = 29,844,345.85
  5. Step 5: Solve for x
    x = 29,844,345.85/5,904.24
  6. Step 6: Final answer
    x = 5,054.73

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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.