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Finding the Fourth Proportional to 3,865.12, 5,774.14 and 2,467.32

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Solution

The fourth proportional to 3,865.12, 5,774.14 and 2,467.32 is: 3,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.12 : 5,774.14 = 2,467.32 : x
  2. Step 2: Convert to fraction form
    3,865.12/5,774.14 = 2,467.32/x
  3. Step 3: Cross multiply
    3,865.12x = 5,774.14 × 2,467.32
  4. Step 4: Simplify right side
    3,865.12x = 14,246,651.10
  5. Step 5: Solve for x
    x = 14,246,651.10/3,865.12
  6. Step 6: Final answer
    x = 3,685.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.