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Finding the Fourth Proportional to 3,454.84, 5,184.70 and 2,676.64

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Solution

The fourth proportional to 3,454.84, 5,184.70 and 2,676.64 is: 4,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.84 : 5,184.70 = 2,676.64 : x
  2. Step 2: Convert to fraction form
    3,454.84/5,184.70 = 2,676.64/x
  3. Step 3: Cross multiply
    3,454.84x = 5,184.70 × 2,676.64
  4. Step 4: Simplify right side
    3,454.84x = 13,877,575.41
  5. Step 5: Solve for x
    x = 13,877,575.41/3,454.84
  6. Step 6: Final answer
    x = 4,016.85

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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.