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Finding the Fourth Proportional to 4,801.38, 6,606.81 and 4,771.14

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Solution

The fourth proportional to 4,801.38, 6,606.81 and 4,771.14 is: 6,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.38 : 6,606.81 = 4,771.14 : x
  2. Step 2: Convert to fraction form
    4,801.38/6,606.81 = 4,771.14/x
  3. Step 3: Cross multiply
    4,801.38x = 6,606.81 × 4,771.14
  4. Step 4: Simplify right side
    4,801.38x = 31,522,015.46
  5. Step 5: Solve for x
    x = 31,522,015.46/4,801.38
  6. Step 6: Final answer
    x = 6,565.20

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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.