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Finding the Fourth Proportional to 5,805.66, 8,706.24 and 2,106.99

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Solution

The fourth proportional to 5,805.66, 8,706.24 and 2,106.99 is: 3,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.66 : 8,706.24 = 2,106.99 : x
  2. Step 2: Convert to fraction form
    5,805.66/8,706.24 = 2,106.99/x
  3. Step 3: Cross multiply
    5,805.66x = 8,706.24 × 2,106.99
  4. Step 4: Simplify right side
    5,805.66x = 18,343,960.62
  5. Step 5: Solve for x
    x = 18,343,960.62/5,805.66
  6. Step 6: Final answer
    x = 3,159.67

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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.