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Finding the Fourth Proportional to 3,692, 5,534.34 and 1,740.74

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Solution

The fourth proportional to 3,692, 5,534.34 and 1,740.74 is: 2,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692 : 5,534.34 = 1,740.74 : x
  2. Step 2: Convert to fraction form
    3,692/5,534.34 = 1,740.74/x
  3. Step 3: Cross multiply
    3,692x = 5,534.34 × 1,740.74
  4. Step 4: Simplify right side
    3,692x = 9,633,847.01
  5. Step 5: Solve for x
    x = 9,633,847.01/3,692
  6. Step 6: Final answer
    x = 2,609.38

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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.