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Finding the Fourth Proportional to 3,864.16, 5,796 and 1,128.16

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Solution

The fourth proportional to 3,864.16, 5,796 and 1,128.16 is: 1,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.16 : 5,796 = 1,128.16 : x
  2. Step 2: Convert to fraction form
    3,864.16/5,796 = 1,128.16/x
  3. Step 3: Cross multiply
    3,864.16x = 5,796 × 1,128.16
  4. Step 4: Simplify right side
    3,864.16x = 6,538,815.36
  5. Step 5: Solve for x
    x = 6,538,815.36/3,864.16
  6. Step 6: Final answer
    x = 1,692.17

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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.