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Finding the Fourth Proportional to 3,090, 4,636.08 and 2,305.20

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Solution

The fourth proportional to 3,090, 4,636.08 and 2,305.20 is: 3,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090 : 4,636.08 = 2,305.20 : x
  2. Step 2: Convert to fraction form
    3,090/4,636.08 = 2,305.20/x
  3. Step 3: Cross multiply
    3,090x = 4,636.08 × 2,305.20
  4. Step 4: Simplify right side
    3,090x = 10,687,091.62
  5. Step 5: Solve for x
    x = 10,687,091.62/3,090
  6. Step 6: Final answer
    x = 3,458.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.