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Finding the Fourth Proportional to 4,664.76, 6,997.26 and 1,333.50

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Solution

The fourth proportional to 4,664.76, 6,997.26 and 1,333.50 is: 2,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.76 : 6,997.26 = 1,333.50 : x
  2. Step 2: Convert to fraction form
    4,664.76/6,997.26 = 1,333.50/x
  3. Step 3: Cross multiply
    4,664.76x = 6,997.26 × 1,333.50
  4. Step 4: Simplify right side
    4,664.76x = 9,330,846.21
  5. Step 5: Solve for x
    x = 9,330,846.21/4,664.76
  6. Step 6: Final answer
    x = 2,000.28

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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.