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Finding the Fourth Proportional to 6,230.84, 8,598.34 and 3,578.56

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Solution

The fourth proportional to 6,230.84, 8,598.34 and 3,578.56 is: 4,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.84 : 8,598.34 = 3,578.56 : x
  2. Step 2: Convert to fraction form
    6,230.84/8,598.34 = 3,578.56/x
  3. Step 3: Cross multiply
    6,230.84x = 8,598.34 × 3,578.56
  4. Step 4: Simplify right side
    6,230.84x = 30,769,675.59
  5. Step 5: Solve for x
    x = 30,769,675.59/6,230.84
  6. Step 6: Final answer
    x = 4,938.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.