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Finding the Fourth Proportional to 4,846.64, 6,688.83 and 2,857.83

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Solution

The fourth proportional to 4,846.64, 6,688.83 and 2,857.83 is: 3,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.64 : 6,688.83 = 2,857.83 : x
  2. Step 2: Convert to fraction form
    4,846.64/6,688.83 = 2,857.83/x
  3. Step 3: Cross multiply
    4,846.64x = 6,688.83 × 2,857.83
  4. Step 4: Simplify right side
    4,846.64x = 19,115,539.04
  5. Step 5: Solve for x
    x = 19,115,539.04/4,846.64
  6. Step 6: Final answer
    x = 3,944.08

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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.