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Finding the Fourth Proportional to 3,673.50, 5,510.25 and 1,076.46

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Solution

The fourth proportional to 3,673.50, 5,510.25 and 1,076.46 is: 1,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.50 : 5,510.25 = 1,076.46 : x
  2. Step 2: Convert to fraction form
    3,673.50/5,510.25 = 1,076.46/x
  3. Step 3: Cross multiply
    3,673.50x = 5,510.25 × 1,076.46
  4. Step 4: Simplify right side
    3,673.50x = 5,931,563.72
  5. Step 5: Solve for x
    x = 5,931,563.72/3,673.50
  6. Step 6: Final answer
    x = 1,614.69

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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.