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Finding the Fourth Proportional to 3,446.48, 5,169.72 and 1,138.16

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Solution

The fourth proportional to 3,446.48, 5,169.72 and 1,138.16 is: 1,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.48 : 5,169.72 = 1,138.16 : x
  2. Step 2: Convert to fraction form
    3,446.48/5,169.72 = 1,138.16/x
  3. Step 3: Cross multiply
    3,446.48x = 5,169.72 × 1,138.16
  4. Step 4: Simplify right side
    3,446.48x = 5,883,968.52
  5. Step 5: Solve for x
    x = 5,883,968.52/3,446.48
  6. Step 6: Final answer
    x = 1,707.24

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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.