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Finding the Fourth Proportional to 3,673.43, 5,509.57 and 1,208.23

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Solution

The fourth proportional to 3,673.43, 5,509.57 and 1,208.23 is: 1,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.43 : 5,509.57 = 1,208.23 : x
  2. Step 2: Convert to fraction form
    3,673.43/5,509.57 = 1,208.23/x
  3. Step 3: Cross multiply
    3,673.43x = 5,509.57 × 1,208.23
  4. Step 4: Simplify right side
    3,673.43x = 6,656,827.76
  5. Step 5: Solve for x
    x = 6,656,827.76/3,673.43
  6. Step 6: Final answer
    x = 1,812.16

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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.