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Finding the Fourth Proportional to 5,606, 8,408.42 and 1,445.88

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Solution

The fourth proportional to 5,606, 8,408.42 and 1,445.88 is: 2,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606 : 8,408.42 = 1,445.88 : x
  2. Step 2: Convert to fraction form
    5,606/8,408.42 = 1,445.88/x
  3. Step 3: Cross multiply
    5,606x = 8,408.42 × 1,445.88
  4. Step 4: Simplify right side
    5,606x = 12,157,566.31
  5. Step 5: Solve for x
    x = 12,157,566.31/5,606
  6. Step 6: Final answer
    x = 2,168.67

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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.