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Finding the Fourth Proportional to 4,705.92, 6,489.44 and 3,024.64

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Solution

The fourth proportional to 4,705.92, 6,489.44 and 3,024.64 is: 4,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.92 : 6,489.44 = 3,024.64 : x
  2. Step 2: Convert to fraction form
    4,705.92/6,489.44 = 3,024.64/x
  3. Step 3: Cross multiply
    4,705.92x = 6,489.44 × 3,024.64
  4. Step 4: Simplify right side
    4,705.92x = 19,628,219.80
  5. Step 5: Solve for x
    x = 19,628,219.80/4,705.92
  6. Step 6: Final answer
    x = 4,170.96

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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.