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Finding the Fourth Proportional to 3,597.71, 5,402.43 and 2,219.81

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Solution

The fourth proportional to 3,597.71, 5,402.43 and 2,219.81 is: 3,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.71 : 5,402.43 = 2,219.81 : x
  2. Step 2: Convert to fraction form
    3,597.71/5,402.43 = 2,219.81/x
  3. Step 3: Cross multiply
    3,597.71x = 5,402.43 × 2,219.81
  4. Step 4: Simplify right side
    3,597.71x = 11,992,336.96
  5. Step 5: Solve for x
    x = 11,992,336.96/3,597.71
  6. Step 6: Final answer
    x = 3,333.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.