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Finding the Fourth Proportional to 3,964.47, 5,946.26 and 1,043

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Solution

The fourth proportional to 3,964.47, 5,946.26 and 1,043 is: 1,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.47 : 5,946.26 = 1,043 : x
  2. Step 2: Convert to fraction form
    3,964.47/5,946.26 = 1,043/x
  3. Step 3: Cross multiply
    3,964.47x = 5,946.26 × 1,043
  4. Step 4: Simplify right side
    3,964.47x = 6,201,943.97
  5. Step 5: Solve for x
    x = 6,201,943.97/3,964.47
  6. Step 6: Final answer
    x = 1,564.38

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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.