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Finding the Fourth Proportional to 3,410.55, 5,116.51 and 1,219.22

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Solution

The fourth proportional to 3,410.55, 5,116.51 and 1,219.22 is: 1,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.55 : 5,116.51 = 1,219.22 : x
  2. Step 2: Convert to fraction form
    3,410.55/5,116.51 = 1,219.22/x
  3. Step 3: Cross multiply
    3,410.55x = 5,116.51 × 1,219.22
  4. Step 4: Simplify right side
    3,410.55x = 6,238,151.32
  5. Step 5: Solve for x
    x = 6,238,151.32/3,410.55
  6. Step 6: Final answer
    x = 1,829.08

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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.