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Finding the Fourth Proportional to 4,000.66, 5,998.71 and 1,533.94

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Solution

The fourth proportional to 4,000.66, 5,998.71 and 1,533.94 is: 2,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.66 : 5,998.71 = 1,533.94 : x
  2. Step 2: Convert to fraction form
    4,000.66/5,998.71 = 1,533.94/x
  3. Step 3: Cross multiply
    4,000.66x = 5,998.71 × 1,533.94
  4. Step 4: Simplify right side
    4,000.66x = 9,201,661.22
  5. Step 5: Solve for x
    x = 9,201,661.22/4,000.66
  6. Step 6: Final answer
    x = 2,300.04

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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.