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Finding the Fourth Proportional to 5,684.65, 7,845.83 and 3,447.63

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Solution

The fourth proportional to 5,684.65, 7,845.83 and 3,447.63 is: 4,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.65 : 7,845.83 = 3,447.63 : x
  2. Step 2: Convert to fraction form
    5,684.65/7,845.83 = 3,447.63/x
  3. Step 3: Cross multiply
    5,684.65x = 7,845.83 × 3,447.63
  4. Step 4: Simplify right side
    5,684.65x = 27,049,514.57
  5. Step 5: Solve for x
    x = 27,049,514.57/5,684.65
  6. Step 6: Final answer
    x = 4,758.35

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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.