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Finding the Fourth Proportional to 4,535.36, 6,783.18 and 4,203.26

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Solution

The fourth proportional to 4,535.36, 6,783.18 and 4,203.26 is: 6,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.36 : 6,783.18 = 4,203.26 : x
  2. Step 2: Convert to fraction form
    4,535.36/6,783.18 = 4,203.26/x
  3. Step 3: Cross multiply
    4,535.36x = 6,783.18 × 4,203.26
  4. Step 4: Simplify right side
    4,535.36x = 28,511,469.17
  5. Step 5: Solve for x
    x = 28,511,469.17/4,535.36
  6. Step 6: Final answer
    x = 6,286.48

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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.