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Finding the Fourth Proportional to 5,232.78, 7,223.40 and 3,136.50

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Solution

The fourth proportional to 5,232.78, 7,223.40 and 3,136.50 is: 4,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.78 : 7,223.40 = 3,136.50 : x
  2. Step 2: Convert to fraction form
    5,232.78/7,223.40 = 3,136.50/x
  3. Step 3: Cross multiply
    5,232.78x = 7,223.40 × 3,136.50
  4. Step 4: Simplify right side
    5,232.78x = 22,656,194.10
  5. Step 5: Solve for x
    x = 22,656,194.10/5,232.78
  6. Step 6: Final answer
    x = 4,329.67

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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.