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Finding the Fourth Proportional to 3,410.42, 5,115.66 and 1,219.28

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Solution

The fourth proportional to 3,410.42, 5,115.66 and 1,219.28 is: 1,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.42 : 5,115.66 = 1,219.28 : x
  2. Step 2: Convert to fraction form
    3,410.42/5,115.66 = 1,219.28/x
  3. Step 3: Cross multiply
    3,410.42x = 5,115.66 × 1,219.28
  4. Step 4: Simplify right side
    3,410.42x = 6,237,421.92
  5. Step 5: Solve for x
    x = 6,237,421.92/3,410.42
  6. Step 6: Final answer
    x = 1,828.93

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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.