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Finding the Fourth Proportional to 3,410.72, 5,111.88 and 2,421.97

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Solution

The fourth proportional to 3,410.72, 5,111.88 and 2,421.97 is: 3,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.72 : 5,111.88 = 2,421.97 : x
  2. Step 2: Convert to fraction form
    3,410.72/5,111.88 = 2,421.97/x
  3. Step 3: Cross multiply
    3,410.72x = 5,111.88 × 2,421.97
  4. Step 4: Simplify right side
    3,410.72x = 12,380,798.14
  5. Step 5: Solve for x
    x = 12,380,798.14/3,410.72
  6. Step 6: Final answer
    x = 3,629.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.