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Finding the Fourth Proportional to 5,471.96, 8,207.98 and 3,525.52

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Solution

The fourth proportional to 5,471.96, 8,207.98 and 3,525.52 is: 5,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.96 : 8,207.98 = 3,525.52 : x
  2. Step 2: Convert to fraction form
    5,471.96/8,207.98 = 3,525.52/x
  3. Step 3: Cross multiply
    5,471.96x = 8,207.98 × 3,525.52
  4. Step 4: Simplify right side
    5,471.96x = 28,937,397.65
  5. Step 5: Solve for x
    x = 28,937,397.65/5,471.96
  6. Step 6: Final answer
    x = 5,288.31

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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.