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Finding the Fourth Proportional to 3,807.08, 5,256.24 and 3,408.05

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Solution

The fourth proportional to 3,807.08, 5,256.24 and 3,408.05 is: 4,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.08 : 5,256.24 = 3,408.05 : x
  2. Step 2: Convert to fraction form
    3,807.08/5,256.24 = 3,408.05/x
  3. Step 3: Cross multiply
    3,807.08x = 5,256.24 × 3,408.05
  4. Step 4: Simplify right side
    3,807.08x = 17,913,528.73
  5. Step 5: Solve for x
    x = 17,913,528.73/3,807.08
  6. Step 6: Final answer
    x = 4,705.32

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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.