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Finding the Fourth Proportional to 3,453.98, 5,181.84 and 1,114.20

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Solution

The fourth proportional to 3,453.98, 5,181.84 and 1,114.20 is: 1,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.98 : 5,181.84 = 1,114.20 : x
  2. Step 2: Convert to fraction form
    3,453.98/5,181.84 = 1,114.20/x
  3. Step 3: Cross multiply
    3,453.98x = 5,181.84 × 1,114.20
  4. Step 4: Simplify right side
    3,453.98x = 5,773,606.13
  5. Step 5: Solve for x
    x = 5,773,606.13/3,453.98
  6. Step 6: Final answer
    x = 1,671.58

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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.