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Finding the Fourth Proportional to 5,395.44, 7,449.93 and 4,219.86

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Solution

The fourth proportional to 5,395.44, 7,449.93 and 4,219.86 is: 5,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.44 : 7,449.93 = 4,219.86 : x
  2. Step 2: Convert to fraction form
    5,395.44/7,449.93 = 4,219.86/x
  3. Step 3: Cross multiply
    5,395.44x = 7,449.93 × 4,219.86
  4. Step 4: Simplify right side
    5,395.44x = 31,437,661.61
  5. Step 5: Solve for x
    x = 31,437,661.61/5,395.44
  6. Step 6: Final answer
    x = 5,826.71

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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.