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Finding the Fourth Proportional to 5,172.76, 7,762.38 and 3,532.24

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Solution

The fourth proportional to 5,172.76, 7,762.38 and 3,532.24 is: 5,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.76 : 7,762.38 = 3,532.24 : x
  2. Step 2: Convert to fraction form
    5,172.76/7,762.38 = 3,532.24/x
  3. Step 3: Cross multiply
    5,172.76x = 7,762.38 × 3,532.24
  4. Step 4: Simplify right side
    5,172.76x = 27,418,589.13
  5. Step 5: Solve for x
    x = 27,418,589.13/5,172.76
  6. Step 6: Final answer
    x = 5,300.57

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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.