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Finding the Fourth Proportional to 5,676.83, 7,833.34 and 3,158.32

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Solution

The fourth proportional to 5,676.83, 7,833.34 and 3,158.32 is: 4,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.83 : 7,833.34 = 3,158.32 : x
  2. Step 2: Convert to fraction form
    5,676.83/7,833.34 = 3,158.32/x
  3. Step 3: Cross multiply
    5,676.83x = 7,833.34 × 3,158.32
  4. Step 4: Simplify right side
    5,676.83x = 24,740,194.39
  5. Step 5: Solve for x
    x = 24,740,194.39/5,676.83
  6. Step 6: Final answer
    x = 4,358.10

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1.5x scale

Why These Related Problems?

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