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Finding the Fourth Proportional to 3,483.28, 4,809 and 2,305.36

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Solution

The fourth proportional to 3,483.28, 4,809 and 2,305.36 is: 3,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.28 : 4,809 = 2,305.36 : x
  2. Step 2: Convert to fraction form
    3,483.28/4,809 = 2,305.36/x
  3. Step 3: Cross multiply
    3,483.28x = 4,809 × 2,305.36
  4. Step 4: Simplify right side
    3,483.28x = 11,086,476.24
  5. Step 5: Solve for x
    x = 11,086,476.24/3,483.28
  6. Step 6: Final answer
    x = 3,182.77

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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.