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Finding the Fourth Proportional to 4,004.42, 6,005.01 and 1,662.83

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Solution

The fourth proportional to 4,004.42, 6,005.01 and 1,662.83 is: 2,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.42 : 6,005.01 = 1,662.83 : x
  2. Step 2: Convert to fraction form
    4,004.42/6,005.01 = 1,662.83/x
  3. Step 3: Cross multiply
    4,004.42x = 6,005.01 × 1,662.83
  4. Step 4: Simplify right side
    4,004.42x = 9,985,280.75
  5. Step 5: Solve for x
    x = 9,985,280.75/4,004.42
  6. Step 6: Final answer
    x = 2,493.57

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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.