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Finding the Fourth Proportional to 5,744.20, 8,616.09 and 1,848.50

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Solution

The fourth proportional to 5,744.20, 8,616.09 and 1,848.50 is: 2,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.20 : 8,616.09 = 1,848.50 : x
  2. Step 2: Convert to fraction form
    5,744.20/8,616.09 = 1,848.50/x
  3. Step 3: Cross multiply
    5,744.20x = 8,616.09 × 1,848.50
  4. Step 4: Simplify right side
    5,744.20x = 15,926,842.37
  5. Step 5: Solve for x
    x = 15,926,842.37/5,744.20
  6. Step 6: Final answer
    x = 2,772.68

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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.