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Finding the Fourth Proportional to 3,478.54, 4,800.33 and 1,906.65

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Solution

The fourth proportional to 3,478.54, 4,800.33 and 1,906.65 is: 2,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.54 : 4,800.33 = 1,906.65 : x
  2. Step 2: Convert to fraction form
    3,478.54/4,800.33 = 1,906.65/x
  3. Step 3: Cross multiply
    3,478.54x = 4,800.33 × 1,906.65
  4. Step 4: Simplify right side
    3,478.54x = 9,152,525.19
  5. Step 5: Solve for x
    x = 9,152,525.19/3,478.54
  6. Step 6: Final answer
    x = 2,631.14

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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.