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Finding the Fourth Proportional to 4,057.94, 6,084.08 and 2,209.92

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Solution

The fourth proportional to 4,057.94, 6,084.08 and 2,209.92 is: 3,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.94 : 6,084.08 = 2,209.92 : x
  2. Step 2: Convert to fraction form
    4,057.94/6,084.08 = 2,209.92/x
  3. Step 3: Cross multiply
    4,057.94x = 6,084.08 × 2,209.92
  4. Step 4: Simplify right side
    4,057.94x = 13,445,330.07
  5. Step 5: Solve for x
    x = 13,445,330.07/4,057.94
  6. Step 6: Final answer
    x = 3,313.34

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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.