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Finding the Fourth Proportional to 3,785.82, 5,679.30 and 1,188.50

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Solution

The fourth proportional to 3,785.82, 5,679.30 and 1,188.50 is: 1,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.82 : 5,679.30 = 1,188.50 : x
  2. Step 2: Convert to fraction form
    3,785.82/5,679.30 = 1,188.50/x
  3. Step 3: Cross multiply
    3,785.82x = 5,679.30 × 1,188.50
  4. Step 4: Simplify right side
    3,785.82x = 6,749,848.05
  5. Step 5: Solve for x
    x = 6,749,848.05/3,785.82
  6. Step 6: Final answer
    x = 1,782.93

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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.