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Finding the Fourth Proportional to 4,000.24, 6,001.48 and 1,227.01

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Solution

The fourth proportional to 4,000.24, 6,001.48 and 1,227.01 is: 1,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.24 : 6,001.48 = 1,227.01 : x
  2. Step 2: Convert to fraction form
    4,000.24/6,001.48 = 1,227.01/x
  3. Step 3: Cross multiply
    4,000.24x = 6,001.48 × 1,227.01
  4. Step 4: Simplify right side
    4,000.24x = 7,363,842.90
  5. Step 5: Solve for x
    x = 7,363,842.90/4,000.24
  6. Step 6: Final answer
    x = 1,840.85

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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.