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Finding the Fourth Proportional to 3,470.36, 5,200.07 and 2,694.87

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Solution

The fourth proportional to 3,470.36, 5,200.07 and 2,694.87 is: 4,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.36 : 5,200.07 = 2,694.87 : x
  2. Step 2: Convert to fraction form
    3,470.36/5,200.07 = 2,694.87/x
  3. Step 3: Cross multiply
    3,470.36x = 5,200.07 × 2,694.87
  4. Step 4: Simplify right side
    3,470.36x = 14,013,499.17
  5. Step 5: Solve for x
    x = 14,013,499.17/3,470.36
  6. Step 6: Final answer
    x = 4,038.06

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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.