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Finding the Fourth Proportional to 3,709.44, 5,564.16 and 3,136.32

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Solution

The fourth proportional to 3,709.44, 5,564.16 and 3,136.32 is: 4,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.44 : 5,564.16 = 3,136.32 : x
  2. Step 2: Convert to fraction form
    3,709.44/5,564.16 = 3,136.32/x
  3. Step 3: Cross multiply
    3,709.44x = 5,564.16 × 3,136.32
  4. Step 4: Simplify right side
    3,709.44x = 17,450,986.29
  5. Step 5: Solve for x
    x = 17,450,986.29/3,709.44
  6. Step 6: Final answer
    x = 4,704.48

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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.