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Finding the Fourth Proportional to 4,834.50, 6,672.03 and 3,065.46

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Solution

The fourth proportional to 4,834.50, 6,672.03 and 3,065.46 is: 4,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.50 : 6,672.03 = 3,065.46 : x
  2. Step 2: Convert to fraction form
    4,834.50/6,672.03 = 3,065.46/x
  3. Step 3: Cross multiply
    4,834.50x = 6,672.03 × 3,065.46
  4. Step 4: Simplify right side
    4,834.50x = 20,452,841.08
  5. Step 5: Solve for x
    x = 20,452,841.08/4,834.50
  6. Step 6: Final answer
    x = 4,230.60

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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.