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Finding the Fourth Proportional to 5,136.70, 7,699.65 and 2,940.70

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Solution

The fourth proportional to 5,136.70, 7,699.65 and 2,940.70 is: 4,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.70 : 7,699.65 = 2,940.70 : x
  2. Step 2: Convert to fraction form
    5,136.70/7,699.65 = 2,940.70/x
  3. Step 3: Cross multiply
    5,136.70x = 7,699.65 × 2,940.70
  4. Step 4: Simplify right side
    5,136.70x = 22,642,360.76
  5. Step 5: Solve for x
    x = 22,642,360.76/5,136.70
  6. Step 6: Final answer
    x = 4,407.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.