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Finding the Fourth Proportional to 5,578.25, 7,697.93 and 3,220.34

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Solution

The fourth proportional to 5,578.25, 7,697.93 and 3,220.34 is: 4,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.25 : 7,697.93 = 3,220.34 : x
  2. Step 2: Convert to fraction form
    5,578.25/7,697.93 = 3,220.34/x
  3. Step 3: Cross multiply
    5,578.25x = 7,697.93 × 3,220.34
  4. Step 4: Simplify right side
    5,578.25x = 24,789,955.04
  5. Step 5: Solve for x
    x = 24,789,955.04/5,578.25
  6. Step 6: Final answer
    x = 4,444.04

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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.