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Finding the Fourth Proportional to 5,860.54, 8,087.57 and 3,208.20

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Solution

The fourth proportional to 5,860.54, 8,087.57 and 3,208.20 is: 4,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.54 : 8,087.57 = 3,208.20 : x
  2. Step 2: Convert to fraction form
    5,860.54/8,087.57 = 3,208.20/x
  3. Step 3: Cross multiply
    5,860.54x = 8,087.57 × 3,208.20
  4. Step 4: Simplify right side
    5,860.54x = 25,946,507.74
  5. Step 5: Solve for x
    x = 25,946,507.74/5,860.54
  6. Step 6: Final answer
    x = 4,427.32

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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.