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Finding the Fourth Proportional to 5,210.72, 7,816.04 and 3,467.04

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Solution

The fourth proportional to 5,210.72, 7,816.04 and 3,467.04 is: 5,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.72 : 7,816.04 = 3,467.04 : x
  2. Step 2: Convert to fraction form
    5,210.72/7,816.04 = 3,467.04/x
  3. Step 3: Cross multiply
    5,210.72x = 7,816.04 × 3,467.04
  4. Step 4: Simplify right side
    5,210.72x = 27,098,523.32
  5. Step 5: Solve for x
    x = 27,098,523.32/5,210.72
  6. Step 6: Final answer
    x = 5,200.53

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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.