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Finding the Fourth Proportional to 3,152.76, 4,729.41 and 1,072.08

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Solution

The fourth proportional to 3,152.76, 4,729.41 and 1,072.08 is: 1,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.76 : 4,729.41 = 1,072.08 : x
  2. Step 2: Convert to fraction form
    3,152.76/4,729.41 = 1,072.08/x
  3. Step 3: Cross multiply
    3,152.76x = 4,729.41 × 1,072.08
  4. Step 4: Simplify right side
    3,152.76x = 5,070,305.87
  5. Step 5: Solve for x
    x = 5,070,305.87/3,152.76
  6. Step 6: Final answer
    x = 1,608.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.