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Finding the Fourth Proportional to 4,309.54, 5,947.16 and 2,446.54

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Solution

The fourth proportional to 4,309.54, 5,947.16 and 2,446.54 is: 3,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.54 : 5,947.16 = 2,446.54 : x
  2. Step 2: Convert to fraction form
    4,309.54/5,947.16 = 2,446.54/x
  3. Step 3: Cross multiply
    4,309.54x = 5,947.16 × 2,446.54
  4. Step 4: Simplify right side
    4,309.54x = 14,549,922.86
  5. Step 5: Solve for x
    x = 14,549,922.86/4,309.54
  6. Step 6: Final answer
    x = 3,376.22

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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.