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Finding the Fourth Proportional to 5,310.48, 7,967.04 and 1,612.68

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Solution

The fourth proportional to 5,310.48, 7,967.04 and 1,612.68 is: 2,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.48 : 7,967.04 = 1,612.68 : x
  2. Step 2: Convert to fraction form
    5,310.48/7,967.04 = 1,612.68/x
  3. Step 3: Cross multiply
    5,310.48x = 7,967.04 × 1,612.68
  4. Step 4: Simplify right side
    5,310.48x = 12,848,286.07
  5. Step 5: Solve for x
    x = 12,848,286.07/5,310.48
  6. Step 6: Final answer
    x = 2,419.42

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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.