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Finding the Fourth Proportional to 3,822.32, 5,725.62 and 3,503.39

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Solution

The fourth proportional to 3,822.32, 5,725.62 and 3,503.39 is: 5,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.32 : 5,725.62 = 3,503.39 : x
  2. Step 2: Convert to fraction form
    3,822.32/5,725.62 = 3,503.39/x
  3. Step 3: Cross multiply
    3,822.32x = 5,725.62 × 3,503.39
  4. Step 4: Simplify right side
    3,822.32x = 20,059,051.22
  5. Step 5: Solve for x
    x = 20,059,051.22/3,822.32
  6. Step 6: Final answer
    x = 5,247.87

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