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Finding the Fourth Proportional to 5,930.24, 8,894.34 and 1,981.22

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Solution

The fourth proportional to 5,930.24, 8,894.34 and 1,981.22 is: 2,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.24 : 8,894.34 = 1,981.22 : x
  2. Step 2: Convert to fraction form
    5,930.24/8,894.34 = 1,981.22/x
  3. Step 3: Cross multiply
    5,930.24x = 8,894.34 × 1,981.22
  4. Step 4: Simplify right side
    5,930.24x = 17,621,599.82
  5. Step 5: Solve for x
    x = 17,621,599.82/5,930.24
  6. Step 6: Final answer
    x = 2,971.48

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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.