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Finding the Fourth Proportional to 5,234.15, 7,851.21 and 4,971.37

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Solution

The fourth proportional to 5,234.15, 7,851.21 and 4,971.37 is: 7,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.15 : 7,851.21 = 4,971.37 : x
  2. Step 2: Convert to fraction form
    5,234.15/7,851.21 = 4,971.37/x
  3. Step 3: Cross multiply
    5,234.15x = 7,851.21 × 4,971.37
  4. Step 4: Simplify right side
    5,234.15x = 39,031,250.23
  5. Step 5: Solve for x
    x = 39,031,250.23/5,234.15
  6. Step 6: Final answer
    x = 7,457.03

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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.