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Finding the Fourth Proportional to 3,494.37, 4,816.10 and 3,107.90

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Solution

The fourth proportional to 3,494.37, 4,816.10 and 3,107.90 is: 4,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.37 : 4,816.10 = 3,107.90 : x
  2. Step 2: Convert to fraction form
    3,494.37/4,816.10 = 3,107.90/x
  3. Step 3: Cross multiply
    3,494.37x = 4,816.10 × 3,107.90
  4. Step 4: Simplify right side
    3,494.37x = 14,967,917.57
  5. Step 5: Solve for x
    x = 14,967,917.57/3,494.37
  6. Step 6: Final answer
    x = 4,283.44

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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.