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Finding the Fourth Proportional to 4,154.76, 5,731.02 and 2,829.06

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Solution

The fourth proportional to 4,154.76, 5,731.02 and 2,829.06 is: 3,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.76 : 5,731.02 = 2,829.06 : x
  2. Step 2: Convert to fraction form
    4,154.76/5,731.02 = 2,829.06/x
  3. Step 3: Cross multiply
    4,154.76x = 5,731.02 × 2,829.06
  4. Step 4: Simplify right side
    4,154.76x = 16,213,399.44
  5. Step 5: Solve for x
    x = 16,213,399.44/4,154.76
  6. Step 6: Final answer
    x = 3,902.37

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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.