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Finding the Fourth Proportional to 3,490.51, 5,236.53 and 1,150.42

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Solution

The fourth proportional to 3,490.51, 5,236.53 and 1,150.42 is: 1,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.51 : 5,236.53 = 1,150.42 : x
  2. Step 2: Convert to fraction form
    3,490.51/5,236.53 = 1,150.42/x
  3. Step 3: Cross multiply
    3,490.51x = 5,236.53 × 1,150.42
  4. Step 4: Simplify right side
    3,490.51x = 6,024,176.91
  5. Step 5: Solve for x
    x = 6,024,176.91/3,490.51
  6. Step 6: Final answer
    x = 1,725.88

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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.