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Finding the Fourth Proportional to 3,899.34, 5,849.60 and 1,301.67

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Solution

The fourth proportional to 3,899.34, 5,849.60 and 1,301.67 is: 1,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.34 : 5,849.60 = 1,301.67 : x
  2. Step 2: Convert to fraction form
    3,899.34/5,849.60 = 1,301.67/x
  3. Step 3: Cross multiply
    3,899.34x = 5,849.60 × 1,301.67
  4. Step 4: Simplify right side
    3,899.34x = 7,614,242.32
  5. Step 5: Solve for x
    x = 7,614,242.32/3,899.34
  6. Step 6: Final answer
    x = 1,952.70

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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.