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Finding the Fourth Proportional to 3,415.68, 5,116.08 and 2,244.36

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Solution

The fourth proportional to 3,415.68, 5,116.08 and 2,244.36 is: 3,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.68 : 5,116.08 = 2,244.36 : x
  2. Step 2: Convert to fraction form
    3,415.68/5,116.08 = 2,244.36/x
  3. Step 3: Cross multiply
    3,415.68x = 5,116.08 × 2,244.36
  4. Step 4: Simplify right side
    3,415.68x = 11,482,325.31
  5. Step 5: Solve for x
    x = 11,482,325.31/3,415.68
  6. Step 6: Final answer
    x = 3,361.65

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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.