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Finding the Fourth Proportional to 3,410.72, 4,707.46 and 2,214.02

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Solution

The fourth proportional to 3,410.72, 4,707.46 and 2,214.02 is: 3,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.72 : 4,707.46 = 2,214.02 : x
  2. Step 2: Convert to fraction form
    3,410.72/4,707.46 = 2,214.02/x
  3. Step 3: Cross multiply
    3,410.72x = 4,707.46 × 2,214.02
  4. Step 4: Simplify right side
    3,410.72x = 10,422,425.13
  5. Step 5: Solve for x
    x = 10,422,425.13/3,410.72
  6. Step 6: Final answer
    x = 3,055.79

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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.