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Finding the Fourth Proportional to 3,468.24, 4,786.20 and 2,070.72

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Solution

The fourth proportional to 3,468.24, 4,786.20 and 2,070.72 is: 2,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.24 : 4,786.20 = 2,070.72 : x
  2. Step 2: Convert to fraction form
    3,468.24/4,786.20 = 2,070.72/x
  3. Step 3: Cross multiply
    3,468.24x = 4,786.20 × 2,070.72
  4. Step 4: Simplify right side
    3,468.24x = 9,910,880.06
  5. Step 5: Solve for x
    x = 9,910,880.06/3,468.24
  6. Step 6: Final answer
    x = 2,857.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.