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Finding the Fourth Proportional to 4,967.85, 7,447.14 and 1,678.64

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Solution

The fourth proportional to 4,967.85, 7,447.14 and 1,678.64 is: 2,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.85 : 7,447.14 = 1,678.64 : x
  2. Step 2: Convert to fraction form
    4,967.85/7,447.14 = 1,678.64/x
  3. Step 3: Cross multiply
    4,967.85x = 7,447.14 × 1,678.64
  4. Step 4: Simplify right side
    4,967.85x = 12,501,067.09
  5. Step 5: Solve for x
    x = 12,501,067.09/4,967.85
  6. Step 6: Final answer
    x = 2,516.39

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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.