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Finding the Fourth Proportional to 4,871.75, 6,723.81 and 3,825.63

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Solution

The fourth proportional to 4,871.75, 6,723.81 and 3,825.63 is: 5,280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.75 : 6,723.81 = 3,825.63 : x
  2. Step 2: Convert to fraction form
    4,871.75/6,723.81 = 3,825.63/x
  3. Step 3: Cross multiply
    4,871.75x = 6,723.81 × 3,825.63
  4. Step 4: Simplify right side
    4,871.75x = 25,722,809.25
  5. Step 5: Solve for x
    x = 25,722,809.25/4,871.75
  6. Step 6: Final answer
    x = 5,280.00

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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.