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Finding the Fourth Proportional to 5,953.16, 8,930.46 and 2,873

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Solution

The fourth proportional to 5,953.16, 8,930.46 and 2,873 is: 4,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.16 : 8,930.46 = 2,873 : x
  2. Step 2: Convert to fraction form
    5,953.16/8,930.46 = 2,873/x
  3. Step 3: Cross multiply
    5,953.16x = 8,930.46 × 2,873
  4. Step 4: Simplify right side
    5,953.16x = 25,657,211.58
  5. Step 5: Solve for x
    x = 25,657,211.58/5,953.16
  6. Step 6: Final answer
    x = 4,309.85

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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.