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Finding the Fourth Proportional to 3,102.89, 4,629.14 and 2,848.86

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Solution

The fourth proportional to 3,102.89, 4,629.14 and 2,848.86 is: 4,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.89 : 4,629.14 = 2,848.86 : x
  2. Step 2: Convert to fraction form
    3,102.89/4,629.14 = 2,848.86/x
  3. Step 3: Cross multiply
    3,102.89x = 4,629.14 × 2,848.86
  4. Step 4: Simplify right side
    3,102.89x = 13,187,757.54
  5. Step 5: Solve for x
    x = 13,187,757.54/3,102.89
  6. Step 6: Final answer
    x = 4,250.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.