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Finding the Fourth Proportional to 6,277, 8,662.44 and 3,482.68

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Solution

The fourth proportional to 6,277, 8,662.44 and 3,482.68 is: 4,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277 : 8,662.44 = 3,482.68 : x
  2. Step 2: Convert to fraction form
    6,277/8,662.44 = 3,482.68/x
  3. Step 3: Cross multiply
    6,277x = 8,662.44 × 3,482.68
  4. Step 4: Simplify right side
    6,277x = 30,168,506.54
  5. Step 5: Solve for x
    x = 30,168,506.54/6,277
  6. Step 6: Final answer
    x = 4,806.20

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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.