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Finding the Fourth Proportional to 6,458.20, 9,680.10 and 3,686.20

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Solution

The fourth proportional to 6,458.20, 9,680.10 and 3,686.20 is: 5,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.20 : 9,680.10 = 3,686.20 : x
  2. Step 2: Convert to fraction form
    6,458.20/9,680.10 = 3,686.20/x
  3. Step 3: Cross multiply
    6,458.20x = 9,680.10 × 3,686.20
  4. Step 4: Simplify right side
    6,458.20x = 35,682,784.62
  5. Step 5: Solve for x
    x = 35,682,784.62/6,458.20
  6. Step 6: Final answer
    x = 5,525.19

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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.