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Finding the Fourth Proportional to 5,176, 7,142.16 and 3,186.88

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Solution

The fourth proportional to 5,176, 7,142.16 and 3,186.88 is: 4,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176 : 7,142.16 = 3,186.88 : x
  2. Step 2: Convert to fraction form
    5,176/7,142.16 = 3,186.88/x
  3. Step 3: Cross multiply
    5,176x = 7,142.16 × 3,186.88
  4. Step 4: Simplify right side
    5,176x = 22,761,206.86
  5. Step 5: Solve for x
    x = 22,761,206.86/5,176
  6. Step 6: Final answer
    x = 4,397.45

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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.