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Finding the Fourth Proportional to 3,783.82, 5,676.30 and 1,186.50

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Solution

The fourth proportional to 3,783.82, 5,676.30 and 1,186.50 is: 1,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.82 : 5,676.30 = 1,186.50 : x
  2. Step 2: Convert to fraction form
    3,783.82/5,676.30 = 1,186.50/x
  3. Step 3: Cross multiply
    3,783.82x = 5,676.30 × 1,186.50
  4. Step 4: Simplify right side
    3,783.82x = 6,734,929.95
  5. Step 5: Solve for x
    x = 6,734,929.95/3,783.82
  6. Step 6: Final answer
    x = 1,779.93

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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.