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Finding the Fourth Proportional to 5,372.16, 8,040.96 and 4,032

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Solution

The fourth proportional to 5,372.16, 8,040.96 and 4,032 is: 6,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.16 : 8,040.96 = 4,032 : x
  2. Step 2: Convert to fraction form
    5,372.16/8,040.96 = 4,032/x
  3. Step 3: Cross multiply
    5,372.16x = 8,040.96 × 4,032
  4. Step 4: Simplify right side
    5,372.16x = 32,421,150.72
  5. Step 5: Solve for x
    x = 32,421,150.72/5,372.16
  6. Step 6: Final answer
    x = 6,035.03

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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.