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Finding the Fourth Proportional to 6,422.96, 8,856.68 and 4,180.70

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Solution

The fourth proportional to 6,422.96, 8,856.68 and 4,180.70 is: 5,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.96 : 8,856.68 = 4,180.70 : x
  2. Step 2: Convert to fraction form
    6,422.96/8,856.68 = 4,180.70/x
  3. Step 3: Cross multiply
    6,422.96x = 8,856.68 × 4,180.70
  4. Step 4: Simplify right side
    6,422.96x = 37,027,056.89
  5. Step 5: Solve for x
    x = 37,027,056.89/6,422.96
  6. Step 6: Final answer
    x = 5,764.80

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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.