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Finding the Fourth Proportional to 5,394, 8,094.14 and 2,106.93

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Solution

The fourth proportional to 5,394, 8,094.14 and 2,106.93 is: 3,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394 : 8,094.14 = 2,106.93 : x
  2. Step 2: Convert to fraction form
    5,394/8,094.14 = 2,106.93/x
  3. Step 3: Cross multiply
    5,394x = 8,094.14 × 2,106.93
  4. Step 4: Simplify right side
    5,394x = 17,053,786.39
  5. Step 5: Solve for x
    x = 17,053,786.39/5,394
  6. Step 6: Final answer
    x = 3,161.62

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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.