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Finding the Fourth Proportional to 5,077.38, 7,008.06 and 2,954.64

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Solution

The fourth proportional to 5,077.38, 7,008.06 and 2,954.64 is: 4,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.38 : 7,008.06 = 2,954.64 : x
  2. Step 2: Convert to fraction form
    5,077.38/7,008.06 = 2,954.64/x
  3. Step 3: Cross multiply
    5,077.38x = 7,008.06 × 2,954.64
  4. Step 4: Simplify right side
    5,077.38x = 20,706,294.40
  5. Step 5: Solve for x
    x = 20,706,294.40/5,077.38
  6. Step 6: Final answer
    x = 4,078.15

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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.