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Finding the Fourth Proportional to 5,137, 7,058.20 and 4,087.24

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Solution

The fourth proportional to 5,137, 7,058.20 and 4,087.24 is: 5,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137 : 7,058.20 = 4,087.24 : x
  2. Step 2: Convert to fraction form
    5,137/7,058.20 = 4,087.24/x
  3. Step 3: Cross multiply
    5,137x = 7,058.20 × 4,087.24
  4. Step 4: Simplify right side
    5,137x = 28,848,557.37
  5. Step 5: Solve for x
    x = 28,848,557.37/5,137
  6. Step 6: Final answer
    x = 5,615.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.