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Finding the Fourth Proportional to 5,712.36, 7,883.10 and 3,228.36

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Solution

The fourth proportional to 5,712.36, 7,883.10 and 3,228.36 is: 4,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.36 : 7,883.10 = 3,228.36 : x
  2. Step 2: Convert to fraction form
    5,712.36/7,883.10 = 3,228.36/x
  3. Step 3: Cross multiply
    5,712.36x = 7,883.10 × 3,228.36
  4. Step 4: Simplify right side
    5,712.36x = 25,449,484.72
  5. Step 5: Solve for x
    x = 25,449,484.72/5,712.36
  6. Step 6: Final answer
    x = 4,455.16

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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.