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Finding the Fourth Proportional to 3,776.99, 5,666.44 and 1,179.93

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Solution

The fourth proportional to 3,776.99, 5,666.44 and 1,179.93 is: 1,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.99 : 5,666.44 = 1,179.93 : x
  2. Step 2: Convert to fraction form
    3,776.99/5,666.44 = 1,179.93/x
  3. Step 3: Cross multiply
    3,776.99x = 5,666.44 × 1,179.93
  4. Step 4: Simplify right side
    3,776.99x = 6,686,002.55
  5. Step 5: Solve for x
    x = 6,686,002.55/3,776.99
  6. Step 6: Final answer
    x = 1,770.19

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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.