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Finding the Fourth Proportional to 3,756.14, 5,634.20 and 982.80

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Solution

The fourth proportional to 3,756.14, 5,634.20 and 982.80 is: 1,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.14 : 5,634.20 = 982.80 : x
  2. Step 2: Convert to fraction form
    3,756.14/5,634.20 = 982.80/x
  3. Step 3: Cross multiply
    3,756.14x = 5,634.20 × 982.80
  4. Step 4: Simplify right side
    3,756.14x = 5,537,291.76
  5. Step 5: Solve for x
    x = 5,537,291.76/3,756.14
  6. Step 6: Final answer
    x = 1,474.20

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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.