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Finding the Fourth Proportional to 5,675.50, 7,832.19 and 3,319.62

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Solution

The fourth proportional to 5,675.50, 7,832.19 and 3,319.62 is: 4,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.50 : 7,832.19 = 3,319.62 : x
  2. Step 2: Convert to fraction form
    5,675.50/7,832.19 = 3,319.62/x
  3. Step 3: Cross multiply
    5,675.50x = 7,832.19 × 3,319.62
  4. Step 4: Simplify right side
    5,675.50x = 25,999,894.57
  5. Step 5: Solve for x
    x = 25,999,894.57/5,675.50
  6. Step 6: Final answer
    x = 4,581.08

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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.