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Finding the Fourth Proportional to 4,309.08, 5,944.96 and 2,446.08

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Solution

The fourth proportional to 4,309.08, 5,944.96 and 2,446.08 is: 3,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.08 : 5,944.96 = 2,446.08 : x
  2. Step 2: Convert to fraction form
    4,309.08/5,944.96 = 2,446.08/x
  3. Step 3: Cross multiply
    4,309.08x = 5,944.96 × 2,446.08
  4. Step 4: Simplify right side
    4,309.08x = 14,541,847.76
  5. Step 5: Solve for x
    x = 14,541,847.76/4,309.08
  6. Step 6: Final answer
    x = 3,374.70

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1.5x scale

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.