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Finding the Fourth Proportional to 3,477.69, 5,217.21 and 1,503.32

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Solution

The fourth proportional to 3,477.69, 5,217.21 and 1,503.32 is: 2,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.69 : 5,217.21 = 1,503.32 : x
  2. Step 2: Convert to fraction form
    3,477.69/5,217.21 = 1,503.32/x
  3. Step 3: Cross multiply
    3,477.69x = 5,217.21 × 1,503.32
  4. Step 4: Simplify right side
    3,477.69x = 7,843,136.14
  5. Step 5: Solve for x
    x = 7,843,136.14/3,477.69
  6. Step 6: Final answer
    x = 2,255.27

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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.