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Finding the Fourth Proportional to 3,704.72, 5,085.29 and 3,275.67

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Solution

The fourth proportional to 3,704.72, 5,085.29 and 3,275.67 is: 4,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.72 : 5,085.29 = 3,275.67 : x
  2. Step 2: Convert to fraction form
    3,704.72/5,085.29 = 3,275.67/x
  3. Step 3: Cross multiply
    3,704.72x = 5,085.29 × 3,275.67
  4. Step 4: Simplify right side
    3,704.72x = 16,657,715.52
  5. Step 5: Solve for x
    x = 16,657,715.52/3,704.72
  6. Step 6: Final answer
    x = 4,496.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.