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Finding the Fourth Proportional to 3,410.52, 5,115.84 and 1,219.80

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Solution

The fourth proportional to 3,410.52, 5,115.84 and 1,219.80 is: 1,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.52 : 5,115.84 = 1,219.80 : x
  2. Step 2: Convert to fraction form
    3,410.52/5,115.84 = 1,219.80/x
  3. Step 3: Cross multiply
    3,410.52x = 5,115.84 × 1,219.80
  4. Step 4: Simplify right side
    3,410.52x = 6,240,301.63
  5. Step 5: Solve for x
    x = 6,240,301.63/3,410.52
  6. Step 6: Final answer
    x = 1,829.72

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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.