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Finding the Fourth Proportional to 3,254.38, 4,882.58 and 945.88

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Solution

The fourth proportional to 3,254.38, 4,882.58 and 945.88 is: 1,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.38 : 4,882.58 = 945.88 : x
  2. Step 2: Convert to fraction form
    3,254.38/4,882.58 = 945.88/x
  3. Step 3: Cross multiply
    3,254.38x = 4,882.58 × 945.88
  4. Step 4: Simplify right side
    3,254.38x = 4,618,334.77
  5. Step 5: Solve for x
    x = 4,618,334.77/3,254.38
  6. Step 6: Final answer
    x = 1,419.11

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