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Finding the Fourth Proportional to 3,878.08, 5,349.12 and 2,697.60

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Solution

The fourth proportional to 3,878.08, 5,349.12 and 2,697.60 is: 3,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.08 : 5,349.12 = 2,697.60 : x
  2. Step 2: Convert to fraction form
    3,878.08/5,349.12 = 2,697.60/x
  3. Step 3: Cross multiply
    3,878.08x = 5,349.12 × 2,697.60
  4. Step 4: Simplify right side
    3,878.08x = 14,429,786.11
  5. Step 5: Solve for x
    x = 14,429,786.11/3,878.08
  6. Step 6: Final answer
    x = 3,720.86

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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.