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Finding the Fourth Proportional to 3,628.01, 5,005.85 and 2,056.01

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Solution

The fourth proportional to 3,628.01, 5,005.85 and 2,056.01 is: 2,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.01 : 5,005.85 = 2,056.01 : x
  2. Step 2: Convert to fraction form
    3,628.01/5,005.85 = 2,056.01/x
  3. Step 3: Cross multiply
    3,628.01x = 5,005.85 × 2,056.01
  4. Step 4: Simplify right side
    3,628.01x = 10,292,042.35
  5. Step 5: Solve for x
    x = 10,292,042.35/3,628.01
  6. Step 6: Final answer
    x = 2,836.83

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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.