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Finding the Fourth Proportional to 5,312.27, 7,971.92 and 5,271.23

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Solution

The fourth proportional to 5,312.27, 7,971.92 and 5,271.23 is: 7,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.27 : 7,971.92 = 5,271.23 : x
  2. Step 2: Convert to fraction form
    5,312.27/7,971.92 = 5,271.23/x
  3. Step 3: Cross multiply
    5,312.27x = 7,971.92 × 5,271.23
  4. Step 4: Simplify right side
    5,312.27x = 42,021,837.20
  5. Step 5: Solve for x
    x = 42,021,837.20/5,312.27
  6. Step 6: Final answer
    x = 7,910.33

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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.