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Finding the Fourth Proportional to 4,183.05, 5,772.40 and 2,415.22

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Solution

The fourth proportional to 4,183.05, 5,772.40 and 2,415.22 is: 3,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.05 : 5,772.40 = 2,415.22 : x
  2. Step 2: Convert to fraction form
    4,183.05/5,772.40 = 2,415.22/x
  3. Step 3: Cross multiply
    4,183.05x = 5,772.40 × 2,415.22
  4. Step 4: Simplify right side
    4,183.05x = 13,941,641.51
  5. Step 5: Solve for x
    x = 13,941,641.51/4,183.05
  6. Step 6: Final answer
    x = 3,332.89

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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.