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Finding the Fourth Proportional to 4,263.72, 6,387.38 and 3,164.76

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Solution

The fourth proportional to 4,263.72, 6,387.38 and 3,164.76 is: 4,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.72 : 6,387.38 = 3,164.76 : x
  2. Step 2: Convert to fraction form
    4,263.72/6,387.38 = 3,164.76/x
  3. Step 3: Cross multiply
    4,263.72x = 6,387.38 × 3,164.76
  4. Step 4: Simplify right side
    4,263.72x = 20,214,508.91
  5. Step 5: Solve for x
    x = 20,214,508.91/4,263.72
  6. Step 6: Final answer
    x = 4,741.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.