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Finding the Fourth Proportional to 4,833, 7,235.73 and 3,184.52

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Solution

The fourth proportional to 4,833, 7,235.73 and 3,184.52 is: 4,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833 : 7,235.73 = 3,184.52 : x
  2. Step 2: Convert to fraction form
    4,833/7,235.73 = 3,184.52/x
  3. Step 3: Cross multiply
    4,833x = 7,235.73 × 3,184.52
  4. Step 4: Simplify right side
    4,833x = 23,042,290.72
  5. Step 5: Solve for x
    x = 23,042,290.72/4,833
  6. Step 6: Final answer
    x = 4,767.70

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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.