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Finding the Fourth Proportional to 4,477.36, 6,181.77 and 4,003.78

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Solution

The fourth proportional to 4,477.36, 6,181.77 and 4,003.78 is: 5,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.36 : 6,181.77 = 4,003.78 : x
  2. Step 2: Convert to fraction form
    4,477.36/6,181.77 = 4,003.78/x
  3. Step 3: Cross multiply
    4,477.36x = 6,181.77 × 4,003.78
  4. Step 4: Simplify right side
    4,477.36x = 24,750,447.09
  5. Step 5: Solve for x
    x = 24,750,447.09/4,477.36
  6. Step 6: Final answer
    x = 5,527.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.