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Finding the Fourth Proportional to 5,698.88, 8,549.23 and 2,412

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Solution

The fourth proportional to 5,698.88, 8,549.23 and 2,412 is: 3,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.88 : 8,549.23 = 2,412 : x
  2. Step 2: Convert to fraction form
    5,698.88/8,549.23 = 2,412/x
  3. Step 3: Cross multiply
    5,698.88x = 8,549.23 × 2,412
  4. Step 4: Simplify right side
    5,698.88x = 20,620,736.73
  5. Step 5: Solve for x
    x = 20,620,736.73/5,698.88
  6. Step 6: Final answer
    x = 3,618.38

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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.