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Finding the Fourth Proportional to 4,731.84, 6,529.14 and 2,843.01

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Solution

The fourth proportional to 4,731.84, 6,529.14 and 2,843.01 is: 3,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.84 : 6,529.14 = 2,843.01 : x
  2. Step 2: Convert to fraction form
    4,731.84/6,529.14 = 2,843.01/x
  3. Step 3: Cross multiply
    4,731.84x = 6,529.14 × 2,843.01
  4. Step 4: Simplify right side
    4,731.84x = 18,562,410.31
  5. Step 5: Solve for x
    x = 18,562,410.31/4,731.84
  6. Step 6: Final answer
    x = 3,922.87

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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.