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Finding the Fourth Proportional to 3,420.54, 5,130.81 and 955.43

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Solution

The fourth proportional to 3,420.54, 5,130.81 and 955.43 is: 1,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.54 : 5,130.81 = 955.43 : x
  2. Step 2: Convert to fraction form
    3,420.54/5,130.81 = 955.43/x
  3. Step 3: Cross multiply
    3,420.54x = 5,130.81 × 955.43
  4. Step 4: Simplify right side
    3,420.54x = 4,902,104.14
  5. Step 5: Solve for x
    x = 4,902,104.14/3,420.54
  6. Step 6: Final answer
    x = 1,433.14

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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.