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Finding the Fourth Proportional to 5,178.86, 7,146.69 and 2,820.86

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Solution

The fourth proportional to 5,178.86, 7,146.69 and 2,820.86 is: 3,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.86 : 7,146.69 = 2,820.86 : x
  2. Step 2: Convert to fraction form
    5,178.86/7,146.69 = 2,820.86/x
  3. Step 3: Cross multiply
    5,178.86x = 7,146.69 × 2,820.86
  4. Step 4: Simplify right side
    5,178.86x = 20,159,811.95
  5. Step 5: Solve for x
    x = 20,159,811.95/5,178.86
  6. Step 6: Final answer
    x = 3,892.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.