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Finding the Fourth Proportional to 4,214.76, 6,346.86 and 3,673.26

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Solution

The fourth proportional to 4,214.76, 6,346.86 and 3,673.26 is: 5,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.76 : 6,346.86 = 3,673.26 : x
  2. Step 2: Convert to fraction form
    4,214.76/6,346.86 = 3,673.26/x
  3. Step 3: Cross multiply
    4,214.76x = 6,346.86 × 3,673.26
  4. Step 4: Simplify right side
    4,214.76x = 23,313,666.96
  5. Step 5: Solve for x
    x = 23,313,666.96/4,214.76
  6. Step 6: Final answer
    x = 5,531.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.