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Finding the Fourth Proportional to 3,164.53, 4,740.41 and 2,649.67

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Solution

The fourth proportional to 3,164.53, 4,740.41 and 2,649.67 is: 3,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.53 : 4,740.41 = 2,649.67 : x
  2. Step 2: Convert to fraction form
    3,164.53/4,740.41 = 2,649.67/x
  3. Step 3: Cross multiply
    3,164.53x = 4,740.41 × 2,649.67
  4. Step 4: Simplify right side
    3,164.53x = 12,560,522.16
  5. Step 5: Solve for x
    x = 12,560,522.16/3,164.53
  6. Step 6: Final answer
    x = 3,969.16

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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.