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Finding the Fourth Proportional to 4,641.37, 6,394.26 and 3,797.15

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Solution

The fourth proportional to 4,641.37, 6,394.26 and 3,797.15 is: 5,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.37 : 6,394.26 = 3,797.15 : x
  2. Step 2: Convert to fraction form
    4,641.37/6,394.26 = 3,797.15/x
  3. Step 3: Cross multiply
    4,641.37x = 6,394.26 × 3,797.15
  4. Step 4: Simplify right side
    4,641.37x = 24,280,009.57
  5. Step 5: Solve for x
    x = 24,280,009.57/4,641.37
  6. Step 6: Final answer
    x = 5,231.21

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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.