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Finding the Fourth Proportional to 3,643.84, 5,465.84 and 1,453.60

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Solution

The fourth proportional to 3,643.84, 5,465.84 and 1,453.60 is: 2,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.84 : 5,465.84 = 1,453.60 : x
  2. Step 2: Convert to fraction form
    3,643.84/5,465.84 = 1,453.60/x
  3. Step 3: Cross multiply
    3,643.84x = 5,465.84 × 1,453.60
  4. Step 4: Simplify right side
    3,643.84x = 7,945,145.02
  5. Step 5: Solve for x
    x = 7,945,145.02/3,643.84
  6. Step 6: Final answer
    x = 2,180.43

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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.