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Finding the Fourth Proportional to 3,204.16, 4,808.16 and 1,152.32

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Solution

The fourth proportional to 3,204.16, 4,808.16 and 1,152.32 is: 1,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.16 : 4,808.16 = 1,152.32 : x
  2. Step 2: Convert to fraction form
    3,204.16/4,808.16 = 1,152.32/x
  3. Step 3: Cross multiply
    3,204.16x = 4,808.16 × 1,152.32
  4. Step 4: Simplify right side
    3,204.16x = 5,540,538.93
  5. Step 5: Solve for x
    x = 5,540,538.93/3,204.16
  6. Step 6: Final answer
    x = 1,729.17

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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.