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Finding the Fourth Proportional to 3,454.01, 5,181.74 and 1,114.19

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Solution

The fourth proportional to 3,454.01, 5,181.74 and 1,114.19 is: 1,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.01 : 5,181.74 = 1,114.19 : x
  2. Step 2: Convert to fraction form
    3,454.01/5,181.74 = 1,114.19/x
  3. Step 3: Cross multiply
    3,454.01x = 5,181.74 × 1,114.19
  4. Step 4: Simplify right side
    3,454.01x = 5,773,442.89
  5. Step 5: Solve for x
    x = 5,773,442.89/3,454.01
  6. Step 6: Final answer
    x = 1,671.52

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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.