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Finding the Fourth Proportional to 3,477.96, 4,799.61 and 1,906.02

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Solution

The fourth proportional to 3,477.96, 4,799.61 and 1,906.02 is: 2,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.96 : 4,799.61 = 1,906.02 : x
  2. Step 2: Convert to fraction form
    3,477.96/4,799.61 = 1,906.02/x
  3. Step 3: Cross multiply
    3,477.96x = 4,799.61 × 1,906.02
  4. Step 4: Simplify right side
    3,477.96x = 9,148,152.65
  5. Step 5: Solve for x
    x = 9,148,152.65/3,477.96
  6. Step 6: Final answer
    x = 2,630.32

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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.