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Finding the Fourth Proportional to 5,731.32, 8,595 and 2,959.44

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Solution

The fourth proportional to 5,731.32, 8,595 and 2,959.44 is: 4,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.32 : 8,595 = 2,959.44 : x
  2. Step 2: Convert to fraction form
    5,731.32/8,595 = 2,959.44/x
  3. Step 3: Cross multiply
    5,731.32x = 8,595 × 2,959.44
  4. Step 4: Simplify right side
    5,731.32x = 25,436,386.80
  5. Step 5: Solve for x
    x = 25,436,386.80/5,731.32
  6. Step 6: Final answer
    x = 4,438.14

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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.