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Finding the Fourth Proportional to 3,643.01, 5,465.37 and 1,177.64

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Solution

The fourth proportional to 3,643.01, 5,465.37 and 1,177.64 is: 1,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.01 : 5,465.37 = 1,177.64 : x
  2. Step 2: Convert to fraction form
    3,643.01/5,465.37 = 1,177.64/x
  3. Step 3: Cross multiply
    3,643.01x = 5,465.37 × 1,177.64
  4. Step 4: Simplify right side
    3,643.01x = 6,436,235.91
  5. Step 5: Solve for x
    x = 6,436,235.91/3,643.01
  6. Step 6: Final answer
    x = 1,766.74

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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.