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Finding the Fourth Proportional to 5,408.49, 7,461.12 and 3,168.98

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Solution

The fourth proportional to 5,408.49, 7,461.12 and 3,168.98 is: 4,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.49 : 7,461.12 = 3,168.98 : x
  2. Step 2: Convert to fraction form
    5,408.49/7,461.12 = 3,168.98/x
  3. Step 3: Cross multiply
    5,408.49x = 7,461.12 × 3,168.98
  4. Step 4: Simplify right side
    5,408.49x = 23,644,140.06
  5. Step 5: Solve for x
    x = 23,644,140.06/5,408.49
  6. Step 6: Final answer
    x = 4,371.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.