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Finding the Fourth Proportional to 3,090.58, 4,636.49 and 2,780.75

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Solution

The fourth proportional to 3,090.58, 4,636.49 and 2,780.75 is: 4,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.58 : 4,636.49 = 2,780.75 : x
  2. Step 2: Convert to fraction form
    3,090.58/4,636.49 = 2,780.75/x
  3. Step 3: Cross multiply
    3,090.58x = 4,636.49 × 2,780.75
  4. Step 4: Simplify right side
    3,090.58x = 12,892,917.25
  5. Step 5: Solve for x
    x = 12,892,917.25/3,090.58
  6. Step 6: Final answer
    x = 4,171.69

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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.