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Finding the Fourth Proportional to 3,494.52, 4,817.22 and 2,313.54

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Solution

The fourth proportional to 3,494.52, 4,817.22 and 2,313.54 is: 3,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.52 : 4,817.22 = 2,313.54 : x
  2. Step 2: Convert to fraction form
    3,494.52/4,817.22 = 2,313.54/x
  3. Step 3: Cross multiply
    3,494.52x = 4,817.22 × 2,313.54
  4. Step 4: Simplify right side
    3,494.52x = 11,144,831.16
  5. Step 5: Solve for x
    x = 11,144,831.16/3,494.52
  6. Step 6: Final answer
    x = 3,189.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.