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Finding the Fourth Proportional to 3,491.04, 5,236.14 and 1,150.46

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Solution

The fourth proportional to 3,491.04, 5,236.14 and 1,150.46 is: 1,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.04 : 5,236.14 = 1,150.46 : x
  2. Step 2: Convert to fraction form
    3,491.04/5,236.14 = 1,150.46/x
  3. Step 3: Cross multiply
    3,491.04x = 5,236.14 × 1,150.46
  4. Step 4: Simplify right side
    3,491.04x = 6,023,969.62
  5. Step 5: Solve for x
    x = 6,023,969.62/3,491.04
  6. Step 6: Final answer
    x = 1,725.55

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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.