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Finding the Fourth Proportional to 5,133.84, 7,711.68 and 3,682.32

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Solution

The fourth proportional to 5,133.84, 7,711.68 and 3,682.32 is: 5,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.84 : 7,711.68 = 3,682.32 : x
  2. Step 2: Convert to fraction form
    5,133.84/7,711.68 = 3,682.32/x
  3. Step 3: Cross multiply
    5,133.84x = 7,711.68 × 3,682.32
  4. Step 4: Simplify right side
    5,133.84x = 28,396,873.50
  5. Step 5: Solve for x
    x = 28,396,873.50/5,133.84
  6. Step 6: Final answer
    x = 5,531.31

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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.