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Finding the Fourth Proportional to 3,546.72, 5,347.08 and 3,296.16

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Solution

The fourth proportional to 3,546.72, 5,347.08 and 3,296.16 is: 4,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.72 : 5,347.08 = 3,296.16 : x
  2. Step 2: Convert to fraction form
    3,546.72/5,347.08 = 3,296.16/x
  3. Step 3: Cross multiply
    3,546.72x = 5,347.08 × 3,296.16
  4. Step 4: Simplify right side
    3,546.72x = 17,624,831.21
  5. Step 5: Solve for x
    x = 17,624,831.21/3,546.72
  6. Step 6: Final answer
    x = 4,969.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.