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Finding the Fourth Proportional to 5,333.85, 7,999.85 and 2,001.20

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Solution

The fourth proportional to 5,333.85, 7,999.85 and 2,001.20 is: 3,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.85 : 7,999.85 = 2,001.20 : x
  2. Step 2: Convert to fraction form
    5,333.85/7,999.85 = 2,001.20/x
  3. Step 3: Cross multiply
    5,333.85x = 7,999.85 × 2,001.20
  4. Step 4: Simplify right side
    5,333.85x = 16,009,249.81
  5. Step 5: Solve for x
    x = 16,009,249.81/5,333.85
  6. Step 6: Final answer
    x = 3,001.44

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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.