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Finding the Fourth Proportional to 4,396.38, 6,066.90 and 2,406.96

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Solution

The fourth proportional to 4,396.38, 6,066.90 and 2,406.96 is: 3,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396.38 : 6,066.90 = 2,406.96 : x
  2. Step 2: Convert to fraction form
    4,396.38/6,066.90 = 2,406.96/x
  3. Step 3: Cross multiply
    4,396.38x = 6,066.90 × 2,406.96
  4. Step 4: Simplify right side
    4,396.38x = 14,602,785.62
  5. Step 5: Solve for x
    x = 14,602,785.62/4,396.38
  6. Step 6: Final answer
    x = 3,321.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.