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Finding the Fourth Proportional to 6,293.22, 8,684.46 and 3,641.10

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Solution

The fourth proportional to 6,293.22, 8,684.46 and 3,641.10 is: 5,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.22 : 8,684.46 = 3,641.10 : x
  2. Step 2: Convert to fraction form
    6,293.22/8,684.46 = 3,641.10/x
  3. Step 3: Cross multiply
    6,293.22x = 8,684.46 × 3,641.10
  4. Step 4: Simplify right side
    6,293.22x = 31,620,987.31
  5. Step 5: Solve for x
    x = 31,620,987.31/6,293.22
  6. Step 6: Final answer
    x = 5,024.61

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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.