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Finding the Fourth Proportional to 3,785.79, 5,679.36 and 1,319.88

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Solution

The fourth proportional to 3,785.79, 5,679.36 and 1,319.88 is: 1,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.79 : 5,679.36 = 1,319.88 : x
  2. Step 2: Convert to fraction form
    3,785.79/5,679.36 = 1,319.88/x
  3. Step 3: Cross multiply
    3,785.79x = 5,679.36 × 1,319.88
  4. Step 4: Simplify right side
    3,785.79x = 7,496,073.68
  5. Step 5: Solve for x
    x = 7,496,073.68/3,785.79
  6. Step 6: Final answer
    x = 1,980.06

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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.