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Finding the Fourth Proportional to 6,441, 8,889.06 and 3,957.48

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Solution

The fourth proportional to 6,441, 8,889.06 and 3,957.48 is: 5,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441 : 8,889.06 = 3,957.48 : x
  2. Step 2: Convert to fraction form
    6,441/8,889.06 = 3,957.48/x
  3. Step 3: Cross multiply
    6,441x = 8,889.06 × 3,957.48
  4. Step 4: Simplify right side
    6,441x = 35,178,277.17
  5. Step 5: Solve for x
    x = 35,178,277.17/6,441
  6. Step 6: Final answer
    x = 5,461.62

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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.