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Finding the Fourth Proportional to 3,878.22, 5,347 and 2,513.08

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Solution

The fourth proportional to 3,878.22, 5,347 and 2,513.08 is: 3,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.22 : 5,347 = 2,513.08 : x
  2. Step 2: Convert to fraction form
    3,878.22/5,347 = 2,513.08/x
  3. Step 3: Cross multiply
    3,878.22x = 5,347 × 2,513.08
  4. Step 4: Simplify right side
    3,878.22x = 13,437,438.76
  5. Step 5: Solve for x
    x = 13,437,438.76/3,878.22
  6. Step 6: Final answer
    x = 3,464.85

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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.