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Finding the Fourth Proportional to 4,591, 6,886.50 and 1,513.24

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Solution

The fourth proportional to 4,591, 6,886.50 and 1,513.24 is: 2,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591 : 6,886.50 = 1,513.24 : x
  2. Step 2: Convert to fraction form
    4,591/6,886.50 = 1,513.24/x
  3. Step 3: Cross multiply
    4,591x = 6,886.50 × 1,513.24
  4. Step 4: Simplify right side
    4,591x = 10,420,927.26
  5. Step 5: Solve for x
    x = 10,420,927.26/4,591
  6. Step 6: Final answer
    x = 2,269.86

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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.