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Finding the Fourth Proportional to 4,729.50, 7,085.01 and 3,628.47

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Solution

The fourth proportional to 4,729.50, 7,085.01 and 3,628.47 is: 5,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.50 : 7,085.01 = 3,628.47 : x
  2. Step 2: Convert to fraction form
    4,729.50/7,085.01 = 3,628.47/x
  3. Step 3: Cross multiply
    4,729.50x = 7,085.01 × 3,628.47
  4. Step 4: Simplify right side
    4,729.50x = 25,707,746.23
  5. Step 5: Solve for x
    x = 25,707,746.23/4,729.50
  6. Step 6: Final answer
    x = 5,435.62

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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.