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Finding the Fourth Proportional to 4,091.84, 6,139.84 and 1,783.36

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Solution

The fourth proportional to 4,091.84, 6,139.84 and 1,783.36 is: 2,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.84 : 6,139.84 = 1,783.36 : x
  2. Step 2: Convert to fraction form
    4,091.84/6,139.84 = 1,783.36/x
  3. Step 3: Cross multiply
    4,091.84x = 6,139.84 × 1,783.36
  4. Step 4: Simplify right side
    4,091.84x = 10,949,545.06
  5. Step 5: Solve for x
    x = 10,949,545.06/4,091.84
  6. Step 6: Final answer
    x = 2,675.95

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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.