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Finding the Fourth Proportional to 3,673.20, 5,509.80 and 2,290.80

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Solution

The fourth proportional to 3,673.20, 5,509.80 and 2,290.80 is: 3,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.20 : 5,509.80 = 2,290.80 : x
  2. Step 2: Convert to fraction form
    3,673.20/5,509.80 = 2,290.80/x
  3. Step 3: Cross multiply
    3,673.20x = 5,509.80 × 2,290.80
  4. Step 4: Simplify right side
    3,673.20x = 12,621,849.84
  5. Step 5: Solve for x
    x = 12,621,849.84/3,673.20
  6. Step 6: Final answer
    x = 3,436.20

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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.