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Finding the Fourth Proportional to 3,815.35, 5,719.08 and 2,168.35

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Solution

The fourth proportional to 3,815.35, 5,719.08 and 2,168.35 is: 3,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.35 : 5,719.08 = 2,168.35 : x
  2. Step 2: Convert to fraction form
    3,815.35/5,719.08 = 2,168.35/x
  3. Step 3: Cross multiply
    3,815.35x = 5,719.08 × 2,168.35
  4. Step 4: Simplify right side
    3,815.35x = 12,400,967.12
  5. Step 5: Solve for x
    x = 12,400,967.12/3,815.35
  6. Step 6: Final answer
    x = 3,250.28

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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.