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Finding the Fourth Proportional to 4,659.75, 6,985.37 and 4,253.94

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Solution

The fourth proportional to 4,659.75, 6,985.37 and 4,253.94 is: 6,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.75 : 6,985.37 = 4,253.94 : x
  2. Step 2: Convert to fraction form
    4,659.75/6,985.37 = 4,253.94/x
  3. Step 3: Cross multiply
    4,659.75x = 6,985.37 × 4,253.94
  4. Step 4: Simplify right side
    4,659.75x = 29,715,355.49
  5. Step 5: Solve for x
    x = 29,715,355.49/4,659.75
  6. Step 6: Final answer
    x = 6,377.03

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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.