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Finding the Fourth Proportional to 2,946.30, 4,053.30 and 2,864.28

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Solution

The fourth proportional to 2,946.30, 4,053.30 and 2,864.28 is: 3,940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.30 : 4,053.30 = 2,864.28 : x
  2. Step 2: Convert to fraction form
    2,946.30/4,053.30 = 2,864.28/x
  3. Step 3: Cross multiply
    2,946.30x = 4,053.30 × 2,864.28
  4. Step 4: Simplify right side
    2,946.30x = 11,609,786.12
  5. Step 5: Solve for x
    x = 11,609,786.12/2,946.30
  6. Step 6: Final answer
    x = 3,940.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.