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Finding the Fourth Proportional to 3,875.64, 5,827.50 and 3,571.26

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Solution

The fourth proportional to 3,875.64, 5,827.50 and 3,571.26 is: 5,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.64 : 5,827.50 = 3,571.26 : x
  2. Step 2: Convert to fraction form
    3,875.64/5,827.50 = 3,571.26/x
  3. Step 3: Cross multiply
    3,875.64x = 5,827.50 × 3,571.26
  4. Step 4: Simplify right side
    3,875.64x = 20,811,517.65
  5. Step 5: Solve for x
    x = 20,811,517.65/3,875.64
  6. Step 6: Final answer
    x = 5,369.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.