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Finding the Fourth Proportional to 4,926.70, 6,795 and 3,158.44

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Solution

The fourth proportional to 4,926.70, 6,795 and 3,158.44 is: 4,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.70 : 6,795 = 3,158.44 : x
  2. Step 2: Convert to fraction form
    4,926.70/6,795 = 3,158.44/x
  3. Step 3: Cross multiply
    4,926.70x = 6,795 × 3,158.44
  4. Step 4: Simplify right side
    4,926.70x = 21,461,599.80
  5. Step 5: Solve for x
    x = 21,461,599.80/4,926.70
  6. Step 6: Final answer
    x = 4,356.18

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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.