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Finding the Fourth Proportional to 5,228.90, 7,843.35 and 1,333.31

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Solution

The fourth proportional to 5,228.90, 7,843.35 and 1,333.31 is: 1,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.90 : 7,843.35 = 1,333.31 : x
  2. Step 2: Convert to fraction form
    5,228.90/7,843.35 = 1,333.31/x
  3. Step 3: Cross multiply
    5,228.90x = 7,843.35 × 1,333.31
  4. Step 4: Simplify right side
    5,228.90x = 10,457,612.18
  5. Step 5: Solve for x
    x = 10,457,612.18/5,228.90
  6. Step 6: Final answer
    x = 1,999.96

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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.