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Finding the Fourth Proportional to 4,208.58, 6,310.71 and 1,286.10

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Solution

The fourth proportional to 4,208.58, 6,310.71 and 1,286.10 is: 1,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.58 : 6,310.71 = 1,286.10 : x
  2. Step 2: Convert to fraction form
    4,208.58/6,310.71 = 1,286.10/x
  3. Step 3: Cross multiply
    4,208.58x = 6,310.71 × 1,286.10
  4. Step 4: Simplify right side
    4,208.58x = 8,116,204.13
  5. Step 5: Solve for x
    x = 8,116,204.13/4,208.58
  6. Step 6: Final answer
    x = 1,928.49

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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.