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Finding the Fourth Proportional to 3,808.44, 5,255.10 and 2,316.42

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Solution

The fourth proportional to 3,808.44, 5,255.10 and 2,316.42 is: 3,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.44 : 5,255.10 = 2,316.42 : x
  2. Step 2: Convert to fraction form
    3,808.44/5,255.10 = 2,316.42/x
  3. Step 3: Cross multiply
    3,808.44x = 5,255.10 × 2,316.42
  4. Step 4: Simplify right side
    3,808.44x = 12,173,018.74
  5. Step 5: Solve for x
    x = 12,173,018.74/3,808.44
  6. Step 6: Final answer
    x = 3,196.33

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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.