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Finding the Fourth Proportional to 3,633, 5,449.71 and 1,036.14

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Solution

The fourth proportional to 3,633, 5,449.71 and 1,036.14 is: 1,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633 : 5,449.71 = 1,036.14 : x
  2. Step 2: Convert to fraction form
    3,633/5,449.71 = 1,036.14/x
  3. Step 3: Cross multiply
    3,633x = 5,449.71 × 1,036.14
  4. Step 4: Simplify right side
    3,633x = 5,646,662.52
  5. Step 5: Solve for x
    x = 5,646,662.52/3,633
  6. Step 6: Final answer
    x = 1,554.27

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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.