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Finding the Fourth Proportional to 3,913.65, 5,406.01 and 2,917.20

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Solution

The fourth proportional to 3,913.65, 5,406.01 and 2,917.20 is: 4,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.65 : 5,406.01 = 2,917.20 : x
  2. Step 2: Convert to fraction form
    3,913.65/5,406.01 = 2,917.20/x
  3. Step 3: Cross multiply
    3,913.65x = 5,406.01 × 2,917.20
  4. Step 4: Simplify right side
    3,913.65x = 15,770,395.75
  5. Step 5: Solve for x
    x = 15,770,395.75/3,913.65
  6. Step 6: Final answer
    x = 4,029.59

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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.