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Finding the Fourth Proportional to 4,000.48, 5,999.65 and 1,226.94

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Solution

The fourth proportional to 4,000.48, 5,999.65 and 1,226.94 is: 1,840.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.48 : 5,999.65 = 1,226.94 : x
  2. Step 2: Convert to fraction form
    4,000.48/5,999.65 = 1,226.94/x
  3. Step 3: Cross multiply
    4,000.48x = 5,999.65 × 1,226.94
  4. Step 4: Simplify right side
    4,000.48x = 7,361,210.57
  5. Step 5: Solve for x
    x = 7,361,210.57/4,000.48
  6. Step 6: Final answer
    x = 1,840.08

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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.