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Finding the Fourth Proportional to 5,651.86, 8,473.74 and 1,754.14

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Solution

The fourth proportional to 5,651.86, 8,473.74 and 1,754.14 is: 2,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.86 : 8,473.74 = 1,754.14 : x
  2. Step 2: Convert to fraction form
    5,651.86/8,473.74 = 1,754.14/x
  3. Step 3: Cross multiply
    5,651.86x = 8,473.74 × 1,754.14
  4. Step 4: Simplify right side
    5,651.86x = 14,864,126.28
  5. Step 5: Solve for x
    x = 14,864,126.28/5,651.86
  6. Step 6: Final answer
    x = 2,629.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.