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Finding the Fourth Proportional to 4,620.24, 6,929.85 and 1,846.19

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Solution

The fourth proportional to 4,620.24, 6,929.85 and 1,846.19 is: 2,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.24 : 6,929.85 = 1,846.19 : x
  2. Step 2: Convert to fraction form
    4,620.24/6,929.85 = 1,846.19/x
  3. Step 3: Cross multiply
    4,620.24x = 6,929.85 × 1,846.19
  4. Step 4: Simplify right side
    4,620.24x = 12,793,844.02
  5. Step 5: Solve for x
    x = 12,793,844.02/4,620.24
  6. Step 6: Final answer
    x = 2,769.09

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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.