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Finding the Fourth Proportional to 4,804.92, 7,209 and 4,772.52

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Solution

The fourth proportional to 4,804.92, 7,209 and 4,772.52 is: 7,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.92 : 7,209 = 4,772.52 : x
  2. Step 2: Convert to fraction form
    4,804.92/7,209 = 4,772.52/x
  3. Step 3: Cross multiply
    4,804.92x = 7,209 × 4,772.52
  4. Step 4: Simplify right side
    4,804.92x = 34,405,096.68
  5. Step 5: Solve for x
    x = 34,405,096.68/4,804.92
  6. Step 6: Final answer
    x = 7,160.39

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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.