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Finding the Fourth Proportional to 5,096.04, 7,642 and 3,453.04

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Solution

The fourth proportional to 5,096.04, 7,642 and 3,453.04 is: 5,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.04 : 7,642 = 3,453.04 : x
  2. Step 2: Convert to fraction form
    5,096.04/7,642 = 3,453.04/x
  3. Step 3: Cross multiply
    5,096.04x = 7,642 × 3,453.04
  4. Step 4: Simplify right side
    5,096.04x = 26,388,131.68
  5. Step 5: Solve for x
    x = 26,388,131.68/5,096.04
  6. Step 6: Final answer
    x = 5,178.16

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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.