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Finding the Fourth Proportional to 5,676.64, 7,833.80 and 3,437.96

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Solution

The fourth proportional to 5,676.64, 7,833.80 and 3,437.96 is: 4,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.64 : 7,833.80 = 3,437.96 : x
  2. Step 2: Convert to fraction form
    5,676.64/7,833.80 = 3,437.96/x
  3. Step 3: Cross multiply
    5,676.64x = 7,833.80 × 3,437.96
  4. Step 4: Simplify right side
    5,676.64x = 26,932,291.05
  5. Step 5: Solve for x
    x = 26,932,291.05/5,676.64
  6. Step 6: Final answer
    x = 4,744.41

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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.