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Finding the Fourth Proportional to 3,767.66, 5,649.00 and 1,684.80

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Solution

The fourth proportional to 3,767.66, 5,649.00 and 1,684.80 is: 2,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.66 : 5,649.00 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    3,767.66/5,649.00 = 1,684.80/x
  3. Step 3: Cross multiply
    3,767.66x = 5,649.00 × 1,684.80
  4. Step 4: Simplify right side
    3,767.66x = 9,517,407.70
  5. Step 5: Solve for x
    x = 9,517,407.70/3,767.66
  6. Step 6: Final answer
    x = 2,526.08

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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.