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Finding the Fourth Proportional to 4,809.51, 7,211.25 and 1,884.42

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Solution

The fourth proportional to 4,809.51, 7,211.25 and 1,884.42 is: 2,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.51 : 7,211.25 = 1,884.42 : x
  2. Step 2: Convert to fraction form
    4,809.51/7,211.25 = 1,884.42/x
  3. Step 3: Cross multiply
    4,809.51x = 7,211.25 × 1,884.42
  4. Step 4: Simplify right side
    4,809.51x = 13,589,023.73
  5. Step 5: Solve for x
    x = 13,589,023.73/4,809.51
  6. Step 6: Final answer
    x = 2,825.45

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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.