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Finding the Fourth Proportional to 3,643.97, 5,465.34 and 1,011.74

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Solution

The fourth proportional to 3,643.97, 5,465.34 and 1,011.74 is: 1,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.97 : 5,465.34 = 1,011.74 : x
  2. Step 2: Convert to fraction form
    3,643.97/5,465.34 = 1,011.74/x
  3. Step 3: Cross multiply
    3,643.97x = 5,465.34 × 1,011.74
  4. Step 4: Simplify right side
    3,643.97x = 5,529,516.75
  5. Step 5: Solve for x
    x = 5,529,516.75/3,643.97
  6. Step 6: Final answer
    x = 1,517.44

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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.