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Finding the Fourth Proportional to 3,878.84, 5,317.90 and 3,808.64

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Solution

The fourth proportional to 3,878.84, 5,317.90 and 3,808.64 is: 5,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.84 : 5,317.90 = 3,808.64 : x
  2. Step 2: Convert to fraction form
    3,878.84/5,317.90 = 3,808.64/x
  3. Step 3: Cross multiply
    3,878.84x = 5,317.90 × 3,808.64
  4. Step 4: Simplify right side
    3,878.84x = 20,253,966.66
  5. Step 5: Solve for x
    x = 20,253,966.66/3,878.84
  6. Step 6: Final answer
    x = 5,221.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.