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Finding the Fourth Proportional to 4,172.94, 5,752.52 and 3,176.48

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Solution

The fourth proportional to 4,172.94, 5,752.52 and 3,176.48 is: 4,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.94 : 5,752.52 = 3,176.48 : x
  2. Step 2: Convert to fraction form
    4,172.94/5,752.52 = 3,176.48/x
  3. Step 3: Cross multiply
    4,172.94x = 5,752.52 × 3,176.48
  4. Step 4: Simplify right side
    4,172.94x = 18,272,787.05
  5. Step 5: Solve for x
    x = 18,272,787.05/4,172.94
  6. Step 6: Final answer
    x = 4,378.88

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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.