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Finding the Fourth Proportional to 5,228.53, 7,843.01 and 1,333.04

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Solution

The fourth proportional to 5,228.53, 7,843.01 and 1,333.04 is: 1,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.53 : 7,843.01 = 1,333.04 : x
  2. Step 2: Convert to fraction form
    5,228.53/7,843.01 = 1,333.04/x
  3. Step 3: Cross multiply
    5,228.53x = 7,843.01 × 1,333.04
  4. Step 4: Simplify right side
    5,228.53x = 10,455,000.17
  5. Step 5: Solve for x
    x = 10,455,000.17/5,228.53
  6. Step 6: Final answer
    x = 1,999.61

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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.