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Finding the Fourth Proportional to 3,346.70, 5,020.05 and 1,397.84

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Solution

The fourth proportional to 3,346.70, 5,020.05 and 1,397.84 is: 2,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.70 : 5,020.05 = 1,397.84 : x
  2. Step 2: Convert to fraction form
    3,346.70/5,020.05 = 1,397.84/x
  3. Step 3: Cross multiply
    3,346.70x = 5,020.05 × 1,397.84
  4. Step 4: Simplify right side
    3,346.70x = 7,017,201.59
  5. Step 5: Solve for x
    x = 7,017,201.59/3,346.70
  6. Step 6: Final answer
    x = 2,096.76

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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.