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Finding the Fourth Proportional to 5,136.40, 7,688.40 and 4,034.80

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Solution

The fourth proportional to 5,136.40, 7,688.40 and 4,034.80 is: 6,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.40 : 7,688.40 = 4,034.80 : x
  2. Step 2: Convert to fraction form
    5,136.40/7,688.40 = 4,034.80/x
  3. Step 3: Cross multiply
    5,136.40x = 7,688.40 × 4,034.80
  4. Step 4: Simplify right side
    5,136.40x = 31,021,156.32
  5. Step 5: Solve for x
    x = 31,021,156.32/5,136.40
  6. Step 6: Final answer
    x = 6,039.47

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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.