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Finding the Fourth Proportional to 3,476.76, 5,176.11 and 3,459.48

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Solution

The fourth proportional to 3,476.76, 5,176.11 and 3,459.48 is: 5,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.76 : 5,176.11 = 3,459.48 : x
  2. Step 2: Convert to fraction form
    3,476.76/5,176.11 = 3,459.48/x
  3. Step 3: Cross multiply
    3,476.76x = 5,176.11 × 3,459.48
  4. Step 4: Simplify right side
    3,476.76x = 17,906,649.02
  5. Step 5: Solve for x
    x = 17,906,649.02/3,476.76
  6. Step 6: Final answer
    x = 5,150.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.