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Finding the Fourth Proportional to 3,491.34, 5,238.08 and 1,151.36

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Solution

The fourth proportional to 3,491.34, 5,238.08 and 1,151.36 is: 1,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.34 : 5,238.08 = 1,151.36 : x
  2. Step 2: Convert to fraction form
    3,491.34/5,238.08 = 1,151.36/x
  3. Step 3: Cross multiply
    3,491.34x = 5,238.08 × 1,151.36
  4. Step 4: Simplify right side
    3,491.34x = 6,030,915.79
  5. Step 5: Solve for x
    x = 6,030,915.79/3,491.34
  6. Step 6: Final answer
    x = 1,727.39

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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.