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Finding the Fourth Proportional to 5,026.34, 7,540.02 and 1,738.67

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Solution

The fourth proportional to 5,026.34, 7,540.02 and 1,738.67 is: 2,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.34 : 7,540.02 = 1,738.67 : x
  2. Step 2: Convert to fraction form
    5,026.34/7,540.02 = 1,738.67/x
  3. Step 3: Cross multiply
    5,026.34x = 7,540.02 × 1,738.67
  4. Step 4: Simplify right side
    5,026.34x = 13,109,576.21
  5. Step 5: Solve for x
    x = 13,109,576.21/5,026.34
  6. Step 6: Final answer
    x = 2,608.17

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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.