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Finding the Fourth Proportional to 4,945, 7,416.62 and 2,171.16

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Solution

The fourth proportional to 4,945, 7,416.62 and 2,171.16 is: 3,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945 : 7,416.62 = 2,171.16 : x
  2. Step 2: Convert to fraction form
    4,945/7,416.62 = 2,171.16/x
  3. Step 3: Cross multiply
    4,945x = 7,416.62 × 2,171.16
  4. Step 4: Simplify right side
    4,945x = 16,102,668.68
  5. Step 5: Solve for x
    x = 16,102,668.68/4,945
  6. Step 6: Final answer
    x = 3,256.35

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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.