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Finding the Fourth Proportional to 4,441, 6,127.95 and 2,451.46

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Solution

The fourth proportional to 4,441, 6,127.95 and 2,451.46 is: 3,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441 : 6,127.95 = 2,451.46 : x
  2. Step 2: Convert to fraction form
    4,441/6,127.95 = 2,451.46/x
  3. Step 3: Cross multiply
    4,441x = 6,127.95 × 2,451.46
  4. Step 4: Simplify right side
    4,441x = 15,022,424.31
  5. Step 5: Solve for x
    x = 15,022,424.31/4,441
  6. Step 6: Final answer
    x = 3,382.67

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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.