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Finding the Fourth Proportional to 4,905.54, 6,764.76 and 3,136.50

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Solution

The fourth proportional to 4,905.54, 6,764.76 and 3,136.50 is: 4,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.54 : 6,764.76 = 3,136.50 : x
  2. Step 2: Convert to fraction form
    4,905.54/6,764.76 = 3,136.50/x
  3. Step 3: Cross multiply
    4,905.54x = 6,764.76 × 3,136.50
  4. Step 4: Simplify right side
    4,905.54x = 21,217,669.74
  5. Step 5: Solve for x
    x = 21,217,669.74/4,905.54
  6. Step 6: Final answer
    x = 4,325.25

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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.