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Finding the Fourth Proportional to 5,676.83, 7,826.99 and 3,656.82

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Solution

The fourth proportional to 5,676.83, 7,826.99 and 3,656.82 is: 5,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.83 : 7,826.99 = 3,656.82 : x
  2. Step 2: Convert to fraction form
    5,676.83/7,826.99 = 3,656.82/x
  3. Step 3: Cross multiply
    5,676.83x = 7,826.99 × 3,656.82
  4. Step 4: Simplify right side
    5,676.83x = 28,621,875.29
  5. Step 5: Solve for x
    x = 28,621,875.29/5,676.83
  6. Step 6: Final answer
    x = 5,041.88

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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.