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Finding the Fourth Proportional to 5,193.72, 7,800.30 and 4,537.62

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Solution

The fourth proportional to 5,193.72, 7,800.30 and 4,537.62 is: 6,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.72 : 7,800.30 = 4,537.62 : x
  2. Step 2: Convert to fraction form
    5,193.72/7,800.30 = 4,537.62/x
  3. Step 3: Cross multiply
    5,193.72x = 7,800.30 × 4,537.62
  4. Step 4: Simplify right side
    5,193.72x = 35,394,797.29
  5. Step 5: Solve for x
    x = 35,394,797.29/5,193.72
  6. Step 6: Final answer
    x = 6,814.92

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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.