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Finding the Fourth Proportional to 5,141.92, 7,712.94 and 2,676.28

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Solution

The fourth proportional to 5,141.92, 7,712.94 and 2,676.28 is: 4,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.92 : 7,712.94 = 2,676.28 : x
  2. Step 2: Convert to fraction form
    5,141.92/7,712.94 = 2,676.28/x
  3. Step 3: Cross multiply
    5,141.92x = 7,712.94 × 2,676.28
  4. Step 4: Simplify right side
    5,141.92x = 20,641,987.06
  5. Step 5: Solve for x
    x = 20,641,987.06/5,141.92
  6. Step 6: Final answer
    x = 4,014.45

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1.5x scale

Why These Related Problems?

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