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Finding the Fourth Proportional to 3,657.36, 5,047.92 and 3,362.16

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Solution

The fourth proportional to 3,657.36, 5,047.92 and 3,362.16 is: 4,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.36 : 5,047.92 = 3,362.16 : x
  2. Step 2: Convert to fraction form
    3,657.36/5,047.92 = 3,362.16/x
  3. Step 3: Cross multiply
    3,657.36x = 5,047.92 × 3,362.16
  4. Step 4: Simplify right side
    3,657.36x = 16,971,914.71
  5. Step 5: Solve for x
    x = 16,971,914.71/3,657.36
  6. Step 6: Final answer
    x = 4,640.48

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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.