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Finding the Fourth Proportional to 3,786.96, 5,228.40 and 2,901.12

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Solution

The fourth proportional to 3,786.96, 5,228.40 and 2,901.12 is: 4,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.96 : 5,228.40 = 2,901.12 : x
  2. Step 2: Convert to fraction form
    3,786.96/5,228.40 = 2,901.12/x
  3. Step 3: Cross multiply
    3,786.96x = 5,228.40 × 2,901.12
  4. Step 4: Simplify right side
    3,786.96x = 15,168,215.81
  5. Step 5: Solve for x
    x = 15,168,215.81/3,786.96
  6. Step 6: Final answer
    x = 4,005.38

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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.