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Finding the Fourth Proportional to 3,653.93, 5,483.73 and 1,464.09

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Solution

The fourth proportional to 3,653.93, 5,483.73 and 1,464.09 is: 2,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.93 : 5,483.73 = 1,464.09 : x
  2. Step 2: Convert to fraction form
    3,653.93/5,483.73 = 1,464.09/x
  3. Step 3: Cross multiply
    3,653.93x = 5,483.73 × 1,464.09
  4. Step 4: Simplify right side
    3,653.93x = 8,028,674.26
  5. Step 5: Solve for x
    x = 8,028,674.26/3,653.93
  6. Step 6: Final answer
    x = 2,197.27

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1.5x scale

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.