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Finding the Fourth Proportional to 5,981.57, 8,246.01 and 4,207.67

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Solution

The fourth proportional to 5,981.57, 8,246.01 and 4,207.67 is: 5,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.57 : 8,246.01 = 4,207.67 : x
  2. Step 2: Convert to fraction form
    5,981.57/8,246.01 = 4,207.67/x
  3. Step 3: Cross multiply
    5,981.57x = 8,246.01 × 4,207.67
  4. Step 4: Simplify right side
    5,981.57x = 34,696,505.73
  5. Step 5: Solve for x
    x = 34,696,505.73/5,981.57
  6. Step 6: Final answer
    x = 5,800.57

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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.