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Finding the Fourth Proportional to 4,840.82, 7,249.71 and 2,784.50

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Solution

The fourth proportional to 4,840.82, 7,249.71 and 2,784.50 is: 4,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.82 : 7,249.71 = 2,784.50 : x
  2. Step 2: Convert to fraction form
    4,840.82/7,249.71 = 2,784.50/x
  3. Step 3: Cross multiply
    4,840.82x = 7,249.71 × 2,784.50
  4. Step 4: Simplify right side
    4,840.82x = 20,186,817.50
  5. Step 5: Solve for x
    x = 20,186,817.50/4,840.82
  6. Step 6: Final answer
    x = 4,170.12

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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.