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Finding the Fourth Proportional to 3,820.65, 5,265.36 and 2,980.03

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Solution

The fourth proportional to 3,820.65, 5,265.36 and 2,980.03 is: 4,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.65 : 5,265.36 = 2,980.03 : x
  2. Step 2: Convert to fraction form
    3,820.65/5,265.36 = 2,980.03/x
  3. Step 3: Cross multiply
    3,820.65x = 5,265.36 × 2,980.03
  4. Step 4: Simplify right side
    3,820.65x = 15,690,930.76
  5. Step 5: Solve for x
    x = 15,690,930.76/3,820.65
  6. Step 6: Final answer
    x = 4,106.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.