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Finding the Fourth Proportional to 4,676.92, 6,454.15 and 2,908.51

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Solution

The fourth proportional to 4,676.92, 6,454.15 and 2,908.51 is: 4,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.92 : 6,454.15 = 2,908.51 : x
  2. Step 2: Convert to fraction form
    4,676.92/6,454.15 = 2,908.51/x
  3. Step 3: Cross multiply
    4,676.92x = 6,454.15 × 2,908.51
  4. Step 4: Simplify right side
    4,676.92x = 18,771,936.41
  5. Step 5: Solve for x
    x = 18,771,936.41/4,676.92
  6. Step 6: Final answer
    x = 4,013.74

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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.