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Finding the Fourth Proportional to 4,798.44, 7,209 and 4,186.08

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Solution

The fourth proportional to 4,798.44, 7,209 and 4,186.08 is: 6,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.44 : 7,209 = 4,186.08 : x
  2. Step 2: Convert to fraction form
    4,798.44/7,209 = 4,186.08/x
  3. Step 3: Cross multiply
    4,798.44x = 7,209 × 4,186.08
  4. Step 4: Simplify right side
    4,798.44x = 30,177,450.72
  5. Step 5: Solve for x
    x = 30,177,450.72/4,798.44
  6. Step 6: Final answer
    x = 6,289.01

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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.