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Finding the Fourth Proportional to 3,903.14, 5,385.49 and 2,224.08

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Solution

The fourth proportional to 3,903.14, 5,385.49 and 2,224.08 is: 3,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.14 : 5,385.49 = 2,224.08 : x
  2. Step 2: Convert to fraction form
    3,903.14/5,385.49 = 2,224.08/x
  3. Step 3: Cross multiply
    3,903.14x = 5,385.49 × 2,224.08
  4. Step 4: Simplify right side
    3,903.14x = 11,977,770.19
  5. Step 5: Solve for x
    x = 11,977,770.19/3,903.14
  6. Step 6: Final answer
    x = 3,068.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.