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Finding the Fourth Proportional to 4,549.92, 6,824.34 and 2,676.93

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Solution

The fourth proportional to 4,549.92, 6,824.34 and 2,676.93 is: 4,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.92 : 6,824.34 = 2,676.93 : x
  2. Step 2: Convert to fraction form
    4,549.92/6,824.34 = 2,676.93/x
  3. Step 3: Cross multiply
    4,549.92x = 6,824.34 × 2,676.93
  4. Step 4: Simplify right side
    4,549.92x = 18,268,280.48
  5. Step 5: Solve for x
    x = 18,268,280.48/4,549.92
  6. Step 6: Final answer
    x = 4,015.08

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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.