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Finding the Fourth Proportional to 4,966.92, 7,451.82 and 2,371.32

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Solution

The fourth proportional to 4,966.92, 7,451.82 and 2,371.32 is: 3,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.92 : 7,451.82 = 2,371.32 : x
  2. Step 2: Convert to fraction form
    4,966.92/7,451.82 = 2,371.32/x
  3. Step 3: Cross multiply
    4,966.92x = 7,451.82 × 2,371.32
  4. Step 4: Simplify right side
    4,966.92x = 17,670,649.80
  5. Step 5: Solve for x
    x = 17,670,649.80/4,966.92
  6. Step 6: Final answer
    x = 3,557.67

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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.