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Finding the Fourth Proportional to 4,556.16, 6,827.26 and 3,069.88

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Solution

The fourth proportional to 4,556.16, 6,827.26 and 3,069.88 is: 4,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.16 : 6,827.26 = 3,069.88 : x
  2. Step 2: Convert to fraction form
    4,556.16/6,827.26 = 3,069.88/x
  3. Step 3: Cross multiply
    4,556.16x = 6,827.26 × 3,069.88
  4. Step 4: Simplify right side
    4,556.16x = 20,958,868.93
  5. Step 5: Solve for x
    x = 20,958,868.93/4,556.16
  6. Step 6: Final answer
    x = 4,600.12

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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.