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Finding the Fourth Proportional to 3,651.47, 5,477.00 and 1,186.23

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Solution

The fourth proportional to 3,651.47, 5,477.00 and 1,186.23 is: 1,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.47 : 5,477.00 = 1,186.23 : x
  2. Step 2: Convert to fraction form
    3,651.47/5,477.00 = 1,186.23/x
  3. Step 3: Cross multiply
    3,651.47x = 5,477.00 × 1,186.23
  4. Step 4: Simplify right side
    3,651.47x = 6,496,975.78
  5. Step 5: Solve for x
    x = 6,496,975.78/3,651.47
  6. Step 6: Final answer
    x = 1,779.28

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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.