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Finding the Fourth Proportional to 6,293.58, 8,684.46 and 3,640.47

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Solution

The fourth proportional to 6,293.58, 8,684.46 and 3,640.47 is: 5,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.58 : 8,684.46 = 3,640.47 : x
  2. Step 2: Convert to fraction form
    6,293.58/8,684.46 = 3,640.47/x
  3. Step 3: Cross multiply
    6,293.58x = 8,684.46 × 3,640.47
  4. Step 4: Simplify right side
    6,293.58x = 31,615,516.10
  5. Step 5: Solve for x
    x = 31,615,516.10/6,293.58
  6. Step 6: Final answer
    x = 5,023.46

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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.