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Finding the Fourth Proportional to 5,506.87, 8,260.83 and 1,809.12

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Solution

The fourth proportional to 5,506.87, 8,260.83 and 1,809.12 is: 2,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.87 : 8,260.83 = 1,809.12 : x
  2. Step 2: Convert to fraction form
    5,506.87/8,260.83 = 1,809.12/x
  3. Step 3: Cross multiply
    5,506.87x = 8,260.83 × 1,809.12
  4. Step 4: Simplify right side
    5,506.87x = 14,944,832.77
  5. Step 5: Solve for x
    x = 14,944,832.77/5,506.87
  6. Step 6: Final answer
    x = 2,713.85

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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.