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Finding the Fourth Proportional to 5,220.04, 7,832.04 and 3,141.48

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Solution

The fourth proportional to 5,220.04, 7,832.04 and 3,141.48 is: 4,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.04 : 7,832.04 = 3,141.48 : x
  2. Step 2: Convert to fraction form
    5,220.04/7,832.04 = 3,141.48/x
  3. Step 3: Cross multiply
    5,220.04x = 7,832.04 × 3,141.48
  4. Step 4: Simplify right side
    5,220.04x = 24,604,197.02
  5. Step 5: Solve for x
    x = 24,604,197.02/5,220.04
  6. Step 6: Final answer
    x = 4,713.41

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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.