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Finding the Fourth Proportional to 4,308.96, 5,946.72 and 2,446.08

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Solution

The fourth proportional to 4,308.96, 5,946.72 and 2,446.08 is: 3,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.96 : 5,946.72 = 2,446.08 : x
  2. Step 2: Convert to fraction form
    4,308.96/5,946.72 = 2,446.08/x
  3. Step 3: Cross multiply
    4,308.96x = 5,946.72 × 2,446.08
  4. Step 4: Simplify right side
    4,308.96x = 14,546,152.86
  5. Step 5: Solve for x
    x = 14,546,152.86/4,308.96
  6. Step 6: Final answer
    x = 3,375.79

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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.