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Finding the Fourth Proportional to 5,328.72, 7,992 and 1,433.16

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Solution

The fourth proportional to 5,328.72, 7,992 and 1,433.16 is: 2,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.72 : 7,992 = 1,433.16 : x
  2. Step 2: Convert to fraction form
    5,328.72/7,992 = 1,433.16/x
  3. Step 3: Cross multiply
    5,328.72x = 7,992 × 1,433.16
  4. Step 4: Simplify right side
    5,328.72x = 11,453,814.72
  5. Step 5: Solve for x
    x = 11,453,814.72/5,328.72
  6. Step 6: Final answer
    x = 2,149.45

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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.