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Finding the Fourth Proportional to 3,435.05, 4,736.19 and 2,902.97

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Solution

The fourth proportional to 3,435.05, 4,736.19 and 2,902.97 is: 4,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.05 : 4,736.19 = 2,902.97 : x
  2. Step 2: Convert to fraction form
    3,435.05/4,736.19 = 2,902.97/x
  3. Step 3: Cross multiply
    3,435.05x = 4,736.19 × 2,902.97
  4. Step 4: Simplify right side
    3,435.05x = 13,749,017.48
  5. Step 5: Solve for x
    x = 13,749,017.48/3,435.05
  6. Step 6: Final answer
    x = 4,002.57

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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.