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Finding the Fourth Proportional to 4,783.98, 7,162.14 and 3,218.58

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Solution

The fourth proportional to 4,783.98, 7,162.14 and 3,218.58 is: 4,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.98 : 7,162.14 = 3,218.58 : x
  2. Step 2: Convert to fraction form
    4,783.98/7,162.14 = 3,218.58/x
  3. Step 3: Cross multiply
    4,783.98x = 7,162.14 × 3,218.58
  4. Step 4: Simplify right side
    4,783.98x = 23,051,920.56
  5. Step 5: Solve for x
    x = 23,051,920.56/4,783.98
  6. Step 6: Final answer
    x = 4,818.57

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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.