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Finding the Fourth Proportional to 5,942.08, 8,210.28 and 5,731.84

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Solution

The fourth proportional to 5,942.08, 8,210.28 and 5,731.84 is: 7,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.08 : 8,210.28 = 5,731.84 : x
  2. Step 2: Convert to fraction form
    5,942.08/8,210.28 = 5,731.84/x
  3. Step 3: Cross multiply
    5,942.08x = 8,210.28 × 5,731.84
  4. Step 4: Simplify right side
    5,942.08x = 47,060,011.32
  5. Step 5: Solve for x
    x = 47,060,011.32/5,942.08
  6. Step 6: Final answer
    x = 7,919.79

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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.