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Finding the Fourth Proportional to 3,467.61, 5,197.77 and 1,823.72

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Solution

The fourth proportional to 3,467.61, 5,197.77 and 1,823.72 is: 2,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.61 : 5,197.77 = 1,823.72 : x
  2. Step 2: Convert to fraction form
    3,467.61/5,197.77 = 1,823.72/x
  3. Step 3: Cross multiply
    3,467.61x = 5,197.77 × 1,823.72
  4. Step 4: Simplify right side
    3,467.61x = 9,479,251.12
  5. Step 5: Solve for x
    x = 9,479,251.12/3,467.61
  6. Step 6: Final answer
    x = 2,733.66

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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.