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Finding the Fourth Proportional to 5,474.39, 8,210.75 and 1,776.92

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Solution

The fourth proportional to 5,474.39, 8,210.75 and 1,776.92 is: 2,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.39 : 8,210.75 = 1,776.92 : x
  2. Step 2: Convert to fraction form
    5,474.39/8,210.75 = 1,776.92/x
  3. Step 3: Cross multiply
    5,474.39x = 8,210.75 × 1,776.92
  4. Step 4: Simplify right side
    5,474.39x = 14,589,795.95
  5. Step 5: Solve for x
    x = 14,589,795.95/5,474.39
  6. Step 6: Final answer
    x = 2,665.10

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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.