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Finding the Fourth Proportional to 3,980.13, 5,930.19 and 3,756.57

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Solution

The fourth proportional to 3,980.13, 5,930.19 and 3,756.57 is: 5,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.13 : 5,930.19 = 3,756.57 : x
  2. Step 2: Convert to fraction form
    3,980.13/5,930.19 = 3,756.57/x
  3. Step 3: Cross multiply
    3,980.13x = 5,930.19 × 3,756.57
  4. Step 4: Simplify right side
    3,980.13x = 22,277,173.85
  5. Step 5: Solve for x
    x = 22,277,173.85/3,980.13
  6. Step 6: Final answer
    x = 5,597.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.