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Finding the Fourth Proportional to 5,371.84, 8,040.90 and 3,696.16

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Solution

The fourth proportional to 5,371.84, 8,040.90 and 3,696.16 is: 5,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.84 : 8,040.90 = 3,696.16 : x
  2. Step 2: Convert to fraction form
    5,371.84/8,040.90 = 3,696.16/x
  3. Step 3: Cross multiply
    5,371.84x = 8,040.90 × 3,696.16
  4. Step 4: Simplify right side
    5,371.84x = 29,720,452.94
  5. Step 5: Solve for x
    x = 29,720,452.94/5,371.84
  6. Step 6: Final answer
    x = 5,532.64

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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.