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Finding the Fourth Proportional to 3,705.90, 5,114.12 and 2,380.11

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Solution

The fourth proportional to 3,705.90, 5,114.12 and 2,380.11 is: 3,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.90 : 5,114.12 = 2,380.11 : x
  2. Step 2: Convert to fraction form
    3,705.90/5,114.12 = 2,380.11/x
  3. Step 3: Cross multiply
    3,705.90x = 5,114.12 × 2,380.11
  4. Step 4: Simplify right side
    3,705.90x = 12,172,156.25
  5. Step 5: Solve for x
    x = 12,172,156.25/3,705.90
  6. Step 6: Final answer
    x = 3,284.53

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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.