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Finding the Fourth Proportional to 5,151.62, 7,106.73 and 3,054.26

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Solution

The fourth proportional to 5,151.62, 7,106.73 and 3,054.26 is: 4,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.62 : 7,106.73 = 3,054.26 : x
  2. Step 2: Convert to fraction form
    5,151.62/7,106.73 = 3,054.26/x
  3. Step 3: Cross multiply
    5,151.62x = 7,106.73 × 3,054.26
  4. Step 4: Simplify right side
    5,151.62x = 21,705,801.17
  5. Step 5: Solve for x
    x = 21,705,801.17/5,151.62
  6. Step 6: Final answer
    x = 4,213.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.