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Finding the Fourth Proportional to 4,782.33, 7,184.77 and 2,813

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Solution

The fourth proportional to 4,782.33, 7,184.77 and 2,813 is: 4,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.33 : 7,184.77 = 2,813 : x
  2. Step 2: Convert to fraction form
    4,782.33/7,184.77 = 2,813/x
  3. Step 3: Cross multiply
    4,782.33x = 7,184.77 × 2,813
  4. Step 4: Simplify right side
    4,782.33x = 20,210,758.01
  5. Step 5: Solve for x
    x = 20,210,758.01/4,782.33
  6. Step 6: Final answer
    x = 4,226.13

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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.