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Finding the Fourth Proportional to 5,101.16, 7,647.18 and 2,467.19

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Solution

The fourth proportional to 5,101.16, 7,647.18 and 2,467.19 is: 3,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.16 : 7,647.18 = 2,467.19 : x
  2. Step 2: Convert to fraction form
    5,101.16/7,647.18 = 2,467.19/x
  3. Step 3: Cross multiply
    5,101.16x = 7,647.18 × 2,467.19
  4. Step 4: Simplify right side
    5,101.16x = 18,867,007.79
  5. Step 5: Solve for x
    x = 18,867,007.79/5,101.16
  6. Step 6: Final answer
    x = 3,698.58

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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.