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Finding the Fourth Proportional to 5,178.76, 7,146.72 and 2,820.92

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Solution

The fourth proportional to 5,178.76, 7,146.72 and 2,820.92 is: 3,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.76 : 7,146.72 = 2,820.92 : x
  2. Step 2: Convert to fraction form
    5,178.76/7,146.72 = 2,820.92/x
  3. Step 3: Cross multiply
    5,178.76x = 7,146.72 × 2,820.92
  4. Step 4: Simplify right side
    5,178.76x = 20,160,325.38
  5. Step 5: Solve for x
    x = 20,160,325.38/5,178.76
  6. Step 6: Final answer
    x = 3,892.89

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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.