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Finding the Fourth Proportional to 5,100.72, 7,653.42 and 3,024.84

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Solution

The fourth proportional to 5,100.72, 7,653.42 and 3,024.84 is: 4,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.72 : 7,653.42 = 3,024.84 : x
  2. Step 2: Convert to fraction form
    5,100.72/7,653.42 = 3,024.84/x
  3. Step 3: Cross multiply
    5,100.72x = 7,653.42 × 3,024.84
  4. Step 4: Simplify right side
    5,100.72x = 23,150,370.95
  5. Step 5: Solve for x
    x = 23,150,370.95/5,100.72
  6. Step 6: Final answer
    x = 4,538.65

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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.