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Finding the Fourth Proportional to 4,602.96, 6,906.12 and 2,873.04

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Solution

The fourth proportional to 4,602.96, 6,906.12 and 2,873.04 is: 4,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.96 : 6,906.12 = 2,873.04 : x
  2. Step 2: Convert to fraction form
    4,602.96/6,906.12 = 2,873.04/x
  3. Step 3: Cross multiply
    4,602.96x = 6,906.12 × 2,873.04
  4. Step 4: Simplify right side
    4,602.96x = 19,841,559.00
  5. Step 5: Solve for x
    x = 19,841,559.00/4,602.96
  6. Step 6: Final answer
    x = 4,310.61

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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.