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Finding the Fourth Proportional to 5,474.07, 8,210.16 and 1,778.94

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Solution

The fourth proportional to 5,474.07, 8,210.16 and 1,778.94 is: 2,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.07 : 8,210.16 = 1,778.94 : x
  2. Step 2: Convert to fraction form
    5,474.07/8,210.16 = 1,778.94/x
  3. Step 3: Cross multiply
    5,474.07x = 8,210.16 × 1,778.94
  4. Step 4: Simplify right side
    5,474.07x = 14,605,382.03
  5. Step 5: Solve for x
    x = 14,605,382.03/5,474.07
  6. Step 6: Final answer
    x = 2,668.10

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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.