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Finding the Fourth Proportional to 4,000.49, 6,000.73 and 1,533.96

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Solution

The fourth proportional to 4,000.49, 6,000.73 and 1,533.96 is: 2,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.49 : 6,000.73 = 1,533.96 : x
  2. Step 2: Convert to fraction form
    4,000.49/6,000.73 = 1,533.96/x
  3. Step 3: Cross multiply
    4,000.49x = 6,000.73 × 1,533.96
  4. Step 4: Simplify right side
    4,000.49x = 9,204,875.96
  5. Step 5: Solve for x
    x = 9,204,875.96/4,000.49
  6. Step 6: Final answer
    x = 2,300.94

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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.