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Finding the Fourth Proportional to 3,633.64, 5,450.53 and 1,036.64

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Solution

The fourth proportional to 3,633.64, 5,450.53 and 1,036.64 is: 1,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.64 : 5,450.53 = 1,036.64 : x
  2. Step 2: Convert to fraction form
    3,633.64/5,450.53 = 1,036.64/x
  3. Step 3: Cross multiply
    3,633.64x = 5,450.53 × 1,036.64
  4. Step 4: Simplify right side
    3,633.64x = 5,650,237.42
  5. Step 5: Solve for x
    x = 5,650,237.42/3,633.64
  6. Step 6: Final answer
    x = 1,554.98

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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.