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Finding the Fourth Proportional to 3,704.79, 5,112.35 and 2,026.16

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Solution

The fourth proportional to 3,704.79, 5,112.35 and 2,026.16 is: 2,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.79 : 5,112.35 = 2,026.16 : x
  2. Step 2: Convert to fraction form
    3,704.79/5,112.35 = 2,026.16/x
  3. Step 3: Cross multiply
    3,704.79x = 5,112.35 × 2,026.16
  4. Step 4: Simplify right side
    3,704.79x = 10,358,470.31
  5. Step 5: Solve for x
    x = 10,358,470.31/3,704.79
  6. Step 6: Final answer
    x = 2,795.96

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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.