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Finding the Fourth Proportional to 5,102.73, 7,650.54 and 1,770.15

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Solution

The fourth proportional to 5,102.73, 7,650.54 and 1,770.15 is: 2,653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.73 : 7,650.54 = 1,770.15 : x
  2. Step 2: Convert to fraction form
    5,102.73/7,650.54 = 1,770.15/x
  3. Step 3: Cross multiply
    5,102.73x = 7,650.54 × 1,770.15
  4. Step 4: Simplify right side
    5,102.73x = 13,542,603.38
  5. Step 5: Solve for x
    x = 13,542,603.38/5,102.73
  6. Step 6: Final answer
    x = 2,653.99

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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.