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Finding the Fourth Proportional to 3,411.58, 5,115.54 and 1,219.11

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Solution

The fourth proportional to 3,411.58, 5,115.54 and 1,219.11 is: 1,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.58 : 5,115.54 = 1,219.11 : x
  2. Step 2: Convert to fraction form
    3,411.58/5,115.54 = 1,219.11/x
  3. Step 3: Cross multiply
    3,411.58x = 5,115.54 × 1,219.11
  4. Step 4: Simplify right side
    3,411.58x = 6,236,393.18
  5. Step 5: Solve for x
    x = 6,236,393.18/3,411.58
  6. Step 6: Final answer
    x = 1,828.01

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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.