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Finding the Fourth Proportional to 3,676.95, 5,076.30 and 2,421.65

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Solution

The fourth proportional to 3,676.95, 5,076.30 and 2,421.65 is: 3,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.95 : 5,076.30 = 2,421.65 : x
  2. Step 2: Convert to fraction form
    3,676.95/5,076.30 = 2,421.65/x
  3. Step 3: Cross multiply
    3,676.95x = 5,076.30 × 2,421.65
  4. Step 4: Simplify right side
    3,676.95x = 12,293,021.90
  5. Step 5: Solve for x
    x = 12,293,021.90/3,676.95
  6. Step 6: Final answer
    x = 3,343.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.