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Finding the Fourth Proportional to 3,793.12, 5,709.85 and 2,705.02

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Solution

The fourth proportional to 3,793.12, 5,709.85 and 2,705.02 is: 4,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.12 : 5,709.85 = 2,705.02 : x
  2. Step 2: Convert to fraction form
    3,793.12/5,709.85 = 2,705.02/x
  3. Step 3: Cross multiply
    3,793.12x = 5,709.85 × 2,705.02
  4. Step 4: Simplify right side
    3,793.12x = 15,445,258.45
  5. Step 5: Solve for x
    x = 15,445,258.45/3,793.12
  6. Step 6: Final answer
    x = 4,071.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.