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Finding the Fourth Proportional to 4,507.14, 6,214.22 and 3,446.22

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Solution

The fourth proportional to 4,507.14, 6,214.22 and 3,446.22 is: 4,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.14 : 6,214.22 = 3,446.22 : x
  2. Step 2: Convert to fraction form
    4,507.14/6,214.22 = 3,446.22/x
  3. Step 3: Cross multiply
    4,507.14x = 6,214.22 × 3,446.22
  4. Step 4: Simplify right side
    4,507.14x = 21,415,569.25
  5. Step 5: Solve for x
    x = 21,415,569.25/4,507.14
  6. Step 6: Final answer
    x = 4,751.48

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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.