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Finding the Fourth Proportional to 3,491.69, 5,238.31 and 1,152.42

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Solution

The fourth proportional to 3,491.69, 5,238.31 and 1,152.42 is: 1,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.69 : 5,238.31 = 1,152.42 : x
  2. Step 2: Convert to fraction form
    3,491.69/5,238.31 = 1,152.42/x
  3. Step 3: Cross multiply
    3,491.69x = 5,238.31 × 1,152.42
  4. Step 4: Simplify right side
    3,491.69x = 6,036,733.21
  5. Step 5: Solve for x
    x = 6,036,733.21/3,491.69
  6. Step 6: Final answer
    x = 1,728.89

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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.