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Finding the Fourth Proportional to 3,608, 5,412 and 1,176

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Solution

The fourth proportional to 3,608, 5,412 and 1,176 is: 1,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608 : 5,412 = 1,176 : x
  2. Step 2: Convert to fraction form
    3,608/5,412 = 1,176/x
  3. Step 3: Cross multiply
    3,608x = 5,412 × 1,176
  4. Step 4: Simplify right side
    3,608x = 6,364,512
  5. Step 5: Solve for x
    x = 6,364,512/3,608
  6. Step 6: Final answer
    x = 1,764

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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.