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Finding the Fourth Proportional to 4,009.68, 5,533.92 and 2,894.22

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Solution

The fourth proportional to 4,009.68, 5,533.92 and 2,894.22 is: 3,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.68 : 5,533.92 = 2,894.22 : x
  2. Step 2: Convert to fraction form
    4,009.68/5,533.92 = 2,894.22/x
  3. Step 3: Cross multiply
    4,009.68x = 5,533.92 × 2,894.22
  4. Step 4: Simplify right side
    4,009.68x = 16,016,381.94
  5. Step 5: Solve for x
    x = 16,016,381.94/4,009.68
  6. Step 6: Final answer
    x = 3,994.43

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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.