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Finding the Fourth Proportional to 5,333.36, 8,000.70 and 2,864.78

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Solution

The fourth proportional to 5,333.36, 8,000.70 and 2,864.78 is: 4,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.36 : 8,000.70 = 2,864.78 : x
  2. Step 2: Convert to fraction form
    5,333.36/8,000.70 = 2,864.78/x
  3. Step 3: Cross multiply
    5,333.36x = 8,000.70 × 2,864.78
  4. Step 4: Simplify right side
    5,333.36x = 22,920,245.35
  5. Step 5: Solve for x
    x = 22,920,245.35/5,333.36
  6. Step 6: Final answer
    x = 4,297.52

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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.