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Finding the Fourth Proportional to 5,221.78, 7,208.32 and 3,125.50

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Solution

The fourth proportional to 5,221.78, 7,208.32 and 3,125.50 is: 4,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.78 : 7,208.32 = 3,125.50 : x
  2. Step 2: Convert to fraction form
    5,221.78/7,208.32 = 3,125.50/x
  3. Step 3: Cross multiply
    5,221.78x = 7,208.32 × 3,125.50
  4. Step 4: Simplify right side
    5,221.78x = 22,529,604.16
  5. Step 5: Solve for x
    x = 22,529,604.16/5,221.78
  6. Step 6: Final answer
    x = 4,314.54

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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.