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Finding the Fourth Proportional to 3,464.76, 4,771.65 and 3,242.41

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Solution

The fourth proportional to 3,464.76, 4,771.65 and 3,242.41 is: 4,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.76 : 4,771.65 = 3,242.41 : x
  2. Step 2: Convert to fraction form
    3,464.76/4,771.65 = 3,242.41/x
  3. Step 3: Cross multiply
    3,464.76x = 4,771.65 × 3,242.41
  4. Step 4: Simplify right side
    3,464.76x = 15,471,645.68
  5. Step 5: Solve for x
    x = 15,471,645.68/3,464.76
  6. Step 6: Final answer
    x = 4,465.43

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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.