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Finding the Fourth Proportional to 5,981.58, 8,258.22 and 4,214.97

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Solution

The fourth proportional to 5,981.58, 8,258.22 and 4,214.97 is: 5,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.58 : 8,258.22 = 4,214.97 : x
  2. Step 2: Convert to fraction form
    5,981.58/8,258.22 = 4,214.97/x
  3. Step 3: Cross multiply
    5,981.58x = 8,258.22 × 4,214.97
  4. Step 4: Simplify right side
    5,981.58x = 34,808,149.55
  5. Step 5: Solve for x
    x = 34,808,149.55/5,981.58
  6. Step 6: Final answer
    x = 5,819.22

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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.