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Finding the Fourth Proportional to 3,490.69, 5,236.77 and 1,025.31

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Solution

The fourth proportional to 3,490.69, 5,236.77 and 1,025.31 is: 1,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.69 : 5,236.77 = 1,025.31 : x
  2. Step 2: Convert to fraction form
    3,490.69/5,236.77 = 1,025.31/x
  3. Step 3: Cross multiply
    3,490.69x = 5,236.77 × 1,025.31
  4. Step 4: Simplify right side
    3,490.69x = 5,369,289.03
  5. Step 5: Solve for x
    x = 5,369,289.03/3,490.69
  6. Step 6: Final answer
    x = 1,538.17

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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.