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Finding the Fourth Proportional to 5,119.22, 7,678.83 and 3,387.44

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Solution

The fourth proportional to 5,119.22, 7,678.83 and 3,387.44 is: 5,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.22 : 7,678.83 = 3,387.44 : x
  2. Step 2: Convert to fraction form
    5,119.22/7,678.83 = 3,387.44/x
  3. Step 3: Cross multiply
    5,119.22x = 7,678.83 × 3,387.44
  4. Step 4: Simplify right side
    5,119.22x = 26,011,537.50
  5. Step 5: Solve for x
    x = 26,011,537.50/5,119.22
  6. Step 6: Final answer
    x = 5,081.16

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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.