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Finding the Fourth Proportional to 4,282.50, 5,910.66 and 2,419.50

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Solution

The fourth proportional to 4,282.50, 5,910.66 and 2,419.50 is: 3,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.50 : 5,910.66 = 2,419.50 : x
  2. Step 2: Convert to fraction form
    4,282.50/5,910.66 = 2,419.50/x
  3. Step 3: Cross multiply
    4,282.50x = 5,910.66 × 2,419.50
  4. Step 4: Simplify right side
    4,282.50x = 14,300,841.87
  5. Step 5: Solve for x
    x = 14,300,841.87/4,282.50
  6. Step 6: Final answer
    x = 3,339.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.