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Finding the Fourth Proportional to 5,656.46, 7,805.06 and 3,171.98

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Solution

The fourth proportional to 5,656.46, 7,805.06 and 3,171.98 is: 4,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.46 : 7,805.06 = 3,171.98 : x
  2. Step 2: Convert to fraction form
    5,656.46/7,805.06 = 3,171.98/x
  3. Step 3: Cross multiply
    5,656.46x = 7,805.06 × 3,171.98
  4. Step 4: Simplify right side
    5,656.46x = 24,757,494.22
  5. Step 5: Solve for x
    x = 24,757,494.22/5,656.46
  6. Step 6: Final answer
    x = 4,376.85

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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.