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Finding the Fourth Proportional to 4,318.98, 6,478.65 and 1,546.95

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Solution

The fourth proportional to 4,318.98, 6,478.65 and 1,546.95 is: 2,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.98 : 6,478.65 = 1,546.95 : x
  2. Step 2: Convert to fraction form
    4,318.98/6,478.65 = 1,546.95/x
  3. Step 3: Cross multiply
    4,318.98x = 6,478.65 × 1,546.95
  4. Step 4: Simplify right side
    4,318.98x = 10,022,147.62
  5. Step 5: Solve for x
    x = 10,022,147.62/4,318.98
  6. Step 6: Final answer
    x = 2,320.49

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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.