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Finding the Fourth Proportional to 3,740.98, 5,609.23 and 1,548.52

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Solution

The fourth proportional to 3,740.98, 5,609.23 and 1,548.52 is: 2,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.98 : 5,609.23 = 1,548.52 : x
  2. Step 2: Convert to fraction form
    3,740.98/5,609.23 = 1,548.52/x
  3. Step 3: Cross multiply
    3,740.98x = 5,609.23 × 1,548.52
  4. Step 4: Simplify right side
    3,740.98x = 8,686,004.84
  5. Step 5: Solve for x
    x = 8,686,004.84/3,740.98
  6. Step 6: Final answer
    x = 2,321.85

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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.