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Finding the Fourth Proportional to 5,783.45, 7,981.17 and 3,265.67

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Solution

The fourth proportional to 5,783.45, 7,981.17 and 3,265.67 is: 4,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.45 : 7,981.17 = 3,265.67 : x
  2. Step 2: Convert to fraction form
    5,783.45/7,981.17 = 3,265.67/x
  3. Step 3: Cross multiply
    5,783.45x = 7,981.17 × 3,265.67
  4. Step 4: Simplify right side
    5,783.45x = 26,063,867.43
  5. Step 5: Solve for x
    x = 26,063,867.43/5,783.45
  6. Step 6: Final answer
    x = 4,506.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.