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Finding the Fourth Proportional to 5,354.05, 8,022.28 and 5,148.98

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Solution

The fourth proportional to 5,354.05, 8,022.28 and 5,148.98 is: 7,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.05 : 8,022.28 = 5,148.98 : x
  2. Step 2: Convert to fraction form
    5,354.05/8,022.28 = 5,148.98/x
  3. Step 3: Cross multiply
    5,354.05x = 8,022.28 × 5,148.98
  4. Step 4: Simplify right side
    5,354.05x = 41,306,559.27
  5. Step 5: Solve for x
    x = 41,306,559.27/5,354.05
  6. Step 6: Final answer
    x = 7,715.01

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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.