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Finding the Fourth Proportional to 5,669.58, 7,822.83 and 3,431.01

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Solution

The fourth proportional to 5,669.58, 7,822.83 and 3,431.01 is: 4,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.58 : 7,822.83 = 3,431.01 : x
  2. Step 2: Convert to fraction form
    5,669.58/7,822.83 = 3,431.01/x
  3. Step 3: Cross multiply
    5,669.58x = 7,822.83 × 3,431.01
  4. Step 4: Simplify right side
    5,669.58x = 26,840,207.96
  5. Step 5: Solve for x
    x = 26,840,207.96/5,669.58
  6. Step 6: Final answer
    x = 4,734.07

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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.