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Finding the Fourth Proportional to 4,233.99, 5,843.19 and 2,345.65

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Solution

The fourth proportional to 4,233.99, 5,843.19 and 2,345.65 is: 3,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.99 : 5,843.19 = 2,345.65 : x
  2. Step 2: Convert to fraction form
    4,233.99/5,843.19 = 2,345.65/x
  3. Step 3: Cross multiply
    4,233.99x = 5,843.19 × 2,345.65
  4. Step 4: Simplify right side
    4,233.99x = 13,706,078.62
  5. Step 5: Solve for x
    x = 13,706,078.62/4,233.99
  6. Step 6: Final answer
    x = 3,237.15

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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.