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Finding the Fourth Proportional to 3,424.70, 5,133.30 and 1,756.49

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Solution

The fourth proportional to 3,424.70, 5,133.30 and 1,756.49 is: 2,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.70 : 5,133.30 = 1,756.49 : x
  2. Step 2: Convert to fraction form
    3,424.70/5,133.30 = 1,756.49/x
  3. Step 3: Cross multiply
    3,424.70x = 5,133.30 × 1,756.49
  4. Step 4: Simplify right side
    3,424.70x = 9,016,564.45
  5. Step 5: Solve for x
    x = 9,016,564.45/3,424.70
  6. Step 6: Final answer
    x = 2,632.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.