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Finding the Fourth Proportional to 3,495.53, 5,242.76 and 1,739.96

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Solution

The fourth proportional to 3,495.53, 5,242.76 and 1,739.96 is: 2,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.53 : 5,242.76 = 1,739.96 : x
  2. Step 2: Convert to fraction form
    3,495.53/5,242.76 = 1,739.96/x
  3. Step 3: Cross multiply
    3,495.53x = 5,242.76 × 1,739.96
  4. Step 4: Simplify right side
    3,495.53x = 9,122,157.78
  5. Step 5: Solve for x
    x = 9,122,157.78/3,495.53
  6. Step 6: Final answer
    x = 2,609.67

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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.