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Finding the Fourth Proportional to 3,673.56, 5,510.70 and 1,208.46

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Solution

The fourth proportional to 3,673.56, 5,510.70 and 1,208.46 is: 1,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.56 : 5,510.70 = 1,208.46 : x
  2. Step 2: Convert to fraction form
    3,673.56/5,510.70 = 1,208.46/x
  3. Step 3: Cross multiply
    3,673.56x = 5,510.70 × 1,208.46
  4. Step 4: Simplify right side
    3,673.56x = 6,659,460.52
  5. Step 5: Solve for x
    x = 6,659,460.52/3,673.56
  6. Step 6: Final answer
    x = 1,812.81

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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.