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Finding the Fourth Proportional to 5,892.30, 8,836.02 and 3,522.78

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Solution

The fourth proportional to 5,892.30, 8,836.02 and 3,522.78 is: 5,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.30 : 8,836.02 = 3,522.78 : x
  2. Step 2: Convert to fraction form
    5,892.30/8,836.02 = 3,522.78/x
  3. Step 3: Cross multiply
    5,892.30x = 8,836.02 × 3,522.78
  4. Step 4: Simplify right side
    5,892.30x = 31,127,354.54
  5. Step 5: Solve for x
    x = 31,127,354.54/5,892.30
  6. Step 6: Final answer
    x = 5,282.72

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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.