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Finding the Fourth Proportional to 4,913.22, 7,364.37 and 1,790.67

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Solution

The fourth proportional to 4,913.22, 7,364.37 and 1,790.67 is: 2,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.22 : 7,364.37 = 1,790.67 : x
  2. Step 2: Convert to fraction form
    4,913.22/7,364.37 = 1,790.67/x
  3. Step 3: Cross multiply
    4,913.22x = 7,364.37 × 1,790.67
  4. Step 4: Simplify right side
    4,913.22x = 13,187,156.43
  5. Step 5: Solve for x
    x = 13,187,156.43/4,913.22
  6. Step 6: Final answer
    x = 2,684.02

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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.