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Finding the Fourth Proportional to 3,783.48, 5,675.24 and 1,186.62

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Solution

The fourth proportional to 3,783.48, 5,675.24 and 1,186.62 is: 1,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.48 : 5,675.24 = 1,186.62 : x
  2. Step 2: Convert to fraction form
    3,783.48/5,675.24 = 1,186.62/x
  3. Step 3: Cross multiply
    3,783.48x = 5,675.24 × 1,186.62
  4. Step 4: Simplify right side
    3,783.48x = 6,734,353.29
  5. Step 5: Solve for x
    x = 6,734,353.29/3,783.48
  6. Step 6: Final answer
    x = 1,779.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.