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Finding the Fourth Proportional to 3,478.56, 5,215.11 and 1,724.18

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Solution

The fourth proportional to 3,478.56, 5,215.11 and 1,724.18 is: 2,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.56 : 5,215.11 = 1,724.18 : x
  2. Step 2: Convert to fraction form
    3,478.56/5,215.11 = 1,724.18/x
  3. Step 3: Cross multiply
    3,478.56x = 5,215.11 × 1,724.18
  4. Step 4: Simplify right side
    3,478.56x = 8,991,762.28
  5. Step 5: Solve for x
    x = 8,991,762.28/3,478.56
  6. Step 6: Final answer
    x = 2,584.91

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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.