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Finding the Fourth Proportional to 5,812.64, 8,022.48 and 4,568.48

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Solution

The fourth proportional to 5,812.64, 8,022.48 and 4,568.48 is: 6,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.64 : 8,022.48 = 4,568.48 : x
  2. Step 2: Convert to fraction form
    5,812.64/8,022.48 = 4,568.48/x
  3. Step 3: Cross multiply
    5,812.64x = 8,022.48 × 4,568.48
  4. Step 4: Simplify right side
    5,812.64x = 36,650,539.43
  5. Step 5: Solve for x
    x = 36,650,539.43/5,812.64
  6. Step 6: Final answer
    x = 6,305.32

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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.