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Finding the Fourth Proportional to 3,843.54, 5,303.21 and 2,586.96

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Solution

The fourth proportional to 3,843.54, 5,303.21 and 2,586.96 is: 3,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.54 : 5,303.21 = 2,586.96 : x
  2. Step 2: Convert to fraction form
    3,843.54/5,303.21 = 2,586.96/x
  3. Step 3: Cross multiply
    3,843.54x = 5,303.21 × 2,586.96
  4. Step 4: Simplify right side
    3,843.54x = 13,719,179.21
  5. Step 5: Solve for x
    x = 13,719,179.21/3,843.54
  6. Step 6: Final answer
    x = 3,569.41

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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.