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Finding the Fourth Proportional to 4,000.48, 6,000.64 and 1,227.20

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Solution

The fourth proportional to 4,000.48, 6,000.64 and 1,227.20 is: 1,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.48 : 6,000.64 = 1,227.20 : x
  2. Step 2: Convert to fraction form
    4,000.48/6,000.64 = 1,227.20/x
  3. Step 3: Cross multiply
    4,000.48x = 6,000.64 × 1,227.20
  4. Step 4: Simplify right side
    4,000.48x = 7,363,985.41
  5. Step 5: Solve for x
    x = 7,363,985.41/4,000.48
  6. Step 6: Final answer
    x = 1,840.78

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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.