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Finding the Fourth Proportional to 3,673.75, 5,510.90 and 1,208.52

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Solution

The fourth proportional to 3,673.75, 5,510.90 and 1,208.52 is: 1,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.75 : 5,510.90 = 1,208.52 : x
  2. Step 2: Convert to fraction form
    3,673.75/5,510.90 = 1,208.52/x
  3. Step 3: Cross multiply
    3,673.75x = 5,510.90 × 1,208.52
  4. Step 4: Simplify right side
    3,673.75x = 6,660,032.87
  5. Step 5: Solve for x
    x = 6,660,032.87/3,673.75
  6. Step 6: Final answer
    x = 1,812.87

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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.