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Finding the Fourth Proportional to 3,656.88, 5,485.73 and 1,465.83

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Solution

The fourth proportional to 3,656.88, 5,485.73 and 1,465.83 is: 2,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.88 : 5,485.73 = 1,465.83 : x
  2. Step 2: Convert to fraction form
    3,656.88/5,485.73 = 1,465.83/x
  3. Step 3: Cross multiply
    3,656.88x = 5,485.73 × 1,465.83
  4. Step 4: Simplify right side
    3,656.88x = 8,041,140.28
  5. Step 5: Solve for x
    x = 8,041,140.28/3,656.88
  6. Step 6: Final answer
    x = 2,198.91

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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.