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Finding the Fourth Proportional to 3,490.58, 5,236.43 and 1,149.90

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Solution

The fourth proportional to 3,490.58, 5,236.43 and 1,149.90 is: 1,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.58 : 5,236.43 = 1,149.90 : x
  2. Step 2: Convert to fraction form
    3,490.58/5,236.43 = 1,149.90/x
  3. Step 3: Cross multiply
    3,490.58x = 5,236.43 × 1,149.90
  4. Step 4: Simplify right side
    3,490.58x = 6,021,365.11
  5. Step 5: Solve for x
    x = 6,021,365.11/3,490.58
  6. Step 6: Final answer
    x = 1,725.04

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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.