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Finding the Fourth Proportional to 3,807.05, 5,706.01 and 2,164.67

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Solution

The fourth proportional to 3,807.05, 5,706.01 and 2,164.67 is: 3,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.05 : 5,706.01 = 2,164.67 : x
  2. Step 2: Convert to fraction form
    3,807.05/5,706.01 = 2,164.67/x
  3. Step 3: Cross multiply
    3,807.05x = 5,706.01 × 2,164.67
  4. Step 4: Simplify right side
    3,807.05x = 12,351,594.72
  5. Step 5: Solve for x
    x = 12,351,594.72/3,807.05
  6. Step 6: Final answer
    x = 3,244.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.