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Finding the Fourth Proportional to 5,215.23, 7,821.09 and 1,516.50

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Solution

The fourth proportional to 5,215.23, 7,821.09 and 1,516.50 is: 2,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.23 : 7,821.09 = 1,516.50 : x
  2. Step 2: Convert to fraction form
    5,215.23/7,821.09 = 1,516.50/x
  3. Step 3: Cross multiply
    5,215.23x = 7,821.09 × 1,516.50
  4. Step 4: Simplify right side
    5,215.23x = 11,860,682.99
  5. Step 5: Solve for x
    x = 11,860,682.99/5,215.23
  6. Step 6: Final answer
    x = 2,274.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.