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Finding the Fourth Proportional to 4,298.99, 5,932.62 and 2,806.02

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Solution

The fourth proportional to 4,298.99, 5,932.62 and 2,806.02 is: 3,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.99 : 5,932.62 = 2,806.02 : x
  2. Step 2: Convert to fraction form
    4,298.99/5,932.62 = 2,806.02/x
  3. Step 3: Cross multiply
    4,298.99x = 5,932.62 × 2,806.02
  4. Step 4: Simplify right side
    4,298.99x = 16,647,050.37
  5. Step 5: Solve for x
    x = 16,647,050.37/4,298.99
  6. Step 6: Final answer
    x = 3,872.32

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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.