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Finding the Fourth Proportional to 5,156.38, 7,118.04 and 3,975.40

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Solution

The fourth proportional to 5,156.38, 7,118.04 and 3,975.40 is: 5,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.38 : 7,118.04 = 3,975.40 : x
  2. Step 2: Convert to fraction form
    5,156.38/7,118.04 = 3,975.40/x
  3. Step 3: Cross multiply
    5,156.38x = 7,118.04 × 3,975.40
  4. Step 4: Simplify right side
    5,156.38x = 28,297,056.22
  5. Step 5: Solve for x
    x = 28,297,056.22/5,156.38
  6. Step 6: Final answer
    x = 5,487.78

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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.