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Finding the Fourth Proportional to 3,966.42, 5,464.77 and 3,325.71

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Solution

The fourth proportional to 3,966.42, 5,464.77 and 3,325.71 is: 4,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.42 : 5,464.77 = 3,325.71 : x
  2. Step 2: Convert to fraction form
    3,966.42/5,464.77 = 3,325.71/x
  3. Step 3: Cross multiply
    3,966.42x = 5,464.77 × 3,325.71
  4. Step 4: Simplify right side
    3,966.42x = 18,174,240.24
  5. Step 5: Solve for x
    x = 18,174,240.24/3,966.42
  6. Step 6: Final answer
    x = 4,582.03

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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.