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Finding the Fourth Proportional to 5,892.84, 8,836.41 and 3,428.32

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Solution

The fourth proportional to 5,892.84, 8,836.41 and 3,428.32 is: 5,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.84 : 8,836.41 = 3,428.32 : x
  2. Step 2: Convert to fraction form
    5,892.84/8,836.41 = 3,428.32/x
  3. Step 3: Cross multiply
    5,892.84x = 8,836.41 × 3,428.32
  4. Step 4: Simplify right side
    5,892.84x = 30,294,041.13
  5. Step 5: Solve for x
    x = 30,294,041.13/5,892.84
  6. Step 6: Final answer
    x = 5,140.82

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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.