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Finding the Fourth Proportional to 5,930.28, 8,895.54 and 4,546.08

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Solution

The fourth proportional to 5,930.28, 8,895.54 and 4,546.08 is: 6,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.28 : 8,895.54 = 4,546.08 : x
  2. Step 2: Convert to fraction form
    5,930.28/8,895.54 = 4,546.08/x
  3. Step 3: Cross multiply
    5,930.28x = 8,895.54 × 4,546.08
  4. Step 4: Simplify right side
    5,930.28x = 40,439,836.48
  5. Step 5: Solve for x
    x = 40,439,836.48/5,930.28
  6. Step 6: Final answer
    x = 6,819.21

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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.