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Finding the Fourth Proportional to 4,172.50, 5,756.46 and 2,756.86

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Solution

The fourth proportional to 4,172.50, 5,756.46 and 2,756.86 is: 3,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.50 : 5,756.46 = 2,756.86 : x
  2. Step 2: Convert to fraction form
    4,172.50/5,756.46 = 2,756.86/x
  3. Step 3: Cross multiply
    4,172.50x = 5,756.46 × 2,756.86
  4. Step 4: Simplify right side
    4,172.50x = 15,869,754.32
  5. Step 5: Solve for x
    x = 15,869,754.32/4,172.50
  6. Step 6: Final answer
    x = 3,803.42

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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.