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Finding the Fourth Proportional to 5,202.39, 7,803.60 and 2,124.39

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Solution

The fourth proportional to 5,202.39, 7,803.60 and 2,124.39 is: 3,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.39 : 7,803.60 = 2,124.39 : x
  2. Step 2: Convert to fraction form
    5,202.39/7,803.60 = 2,124.39/x
  3. Step 3: Cross multiply
    5,202.39x = 7,803.60 × 2,124.39
  4. Step 4: Simplify right side
    5,202.39x = 16,577,889.80
  5. Step 5: Solve for x
    x = 16,577,889.80/5,202.39
  6. Step 6: Final answer
    x = 3,186.59

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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.