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Finding the Fourth Proportional to 4,122.87, 5,684.58 and 3,224.31

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Solution

The fourth proportional to 4,122.87, 5,684.58 and 3,224.31 is: 4,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.87 : 5,684.58 = 3,224.31 : x
  2. Step 2: Convert to fraction form
    4,122.87/5,684.58 = 3,224.31/x
  3. Step 3: Cross multiply
    4,122.87x = 5,684.58 × 3,224.31
  4. Step 4: Simplify right side
    4,122.87x = 18,328,848.14
  5. Step 5: Solve for x
    x = 18,328,848.14/4,122.87
  6. Step 6: Final answer
    x = 4,445.65

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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.