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Finding the Fourth Proportional to 5,201.94, 7,793.16 and 2,606.70

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Solution

The fourth proportional to 5,201.94, 7,793.16 and 2,606.70 is: 3,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.94 : 7,793.16 = 2,606.70 : x
  2. Step 2: Convert to fraction form
    5,201.94/7,793.16 = 2,606.70/x
  3. Step 3: Cross multiply
    5,201.94x = 7,793.16 × 2,606.70
  4. Step 4: Simplify right side
    5,201.94x = 20,314,430.17
  5. Step 5: Solve for x
    x = 20,314,430.17/5,201.94
  6. Step 6: Final answer
    x = 3,905.16

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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.