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Finding the Fourth Proportional to 6,057.32, 9,092.46 and 4,916.84

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Solution

The fourth proportional to 6,057.32, 9,092.46 and 4,916.84 is: 7,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.32 : 9,092.46 = 4,916.84 : x
  2. Step 2: Convert to fraction form
    6,057.32/9,092.46 = 4,916.84/x
  3. Step 3: Cross multiply
    6,057.32x = 9,092.46 × 4,916.84
  4. Step 4: Simplify right side
    6,057.32x = 44,706,171.03
  5. Step 5: Solve for x
    x = 44,706,171.03/6,057.32
  6. Step 6: Final answer
    x = 7,380.52

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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.