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Finding the Fourth Proportional to 5,103.81, 7,652.82 and 3,024.09

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Solution

The fourth proportional to 5,103.81, 7,652.82 and 3,024.09 is: 4,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.81 : 7,652.82 = 3,024.09 : x
  2. Step 2: Convert to fraction form
    5,103.81/7,652.82 = 3,024.09/x
  3. Step 3: Cross multiply
    5,103.81x = 7,652.82 × 3,024.09
  4. Step 4: Simplify right side
    5,103.81x = 23,142,816.43
  5. Step 5: Solve for x
    x = 23,142,816.43/5,103.81
  6. Step 6: Final answer
    x = 4,534.42

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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.