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Finding the Fourth Proportional to 5,136.90, 7,076.64 and 4,886.78

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Solution

The fourth proportional to 5,136.90, 7,076.64 and 4,886.78 is: 6,732.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.90 : 7,076.64 = 4,886.78 : x
  2. Step 2: Convert to fraction form
    5,136.90/7,076.64 = 4,886.78/x
  3. Step 3: Cross multiply
    5,136.90x = 7,076.64 × 4,886.78
  4. Step 4: Simplify right side
    5,136.90x = 34,581,947.44
  5. Step 5: Solve for x
    x = 34,581,947.44/5,136.90
  6. Step 6: Final answer
    x = 6,732.07

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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.