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Finding the Fourth Proportional to 4,808.60, 6,633 and 3,742.44

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Solution

The fourth proportional to 4,808.60, 6,633 and 3,742.44 is: 5,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.60 : 6,633 = 3,742.44 : x
  2. Step 2: Convert to fraction form
    4,808.60/6,633 = 3,742.44/x
  3. Step 3: Cross multiply
    4,808.60x = 6,633 × 3,742.44
  4. Step 4: Simplify right side
    4,808.60x = 24,823,604.52
  5. Step 5: Solve for x
    x = 24,823,604.52/4,808.60
  6. Step 6: Final answer
    x = 5,162.34

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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.