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Finding the Fourth Proportional to 4,808.92, 7,214.17 and 1,477.09

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Solution

The fourth proportional to 4,808.92, 7,214.17 and 1,477.09 is: 2,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.92 : 7,214.17 = 1,477.09 : x
  2. Step 2: Convert to fraction form
    4,808.92/7,214.17 = 1,477.09/x
  3. Step 3: Cross multiply
    4,808.92x = 7,214.17 × 1,477.09
  4. Step 4: Simplify right side
    4,808.92x = 10,655,978.37
  5. Step 5: Solve for x
    x = 10,655,978.37/4,808.92
  6. Step 6: Final answer
    x = 2,215.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.