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Finding the Fourth Proportional to 3,651.99, 5,477.42 and 1,186.45

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Solution

The fourth proportional to 3,651.99, 5,477.42 and 1,186.45 is: 1,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.99 : 5,477.42 = 1,186.45 : x
  2. Step 2: Convert to fraction form
    3,651.99/5,477.42 = 1,186.45/x
  3. Step 3: Cross multiply
    3,651.99x = 5,477.42 × 1,186.45
  4. Step 4: Simplify right side
    3,651.99x = 6,498,674.23
  5. Step 5: Solve for x
    x = 6,498,674.23/3,651.99
  6. Step 6: Final answer
    x = 1,779.49

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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.