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Finding the Fourth Proportional to 5,706.10, 8,561.86 and 3,953.80

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Solution

The fourth proportional to 5,706.10, 8,561.86 and 3,953.80 is: 5,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.10 : 8,561.86 = 3,953.80 : x
  2. Step 2: Convert to fraction form
    5,706.10/8,561.86 = 3,953.80/x
  3. Step 3: Cross multiply
    5,706.10x = 8,561.86 × 3,953.80
  4. Step 4: Simplify right side
    5,706.10x = 33,851,882.07
  5. Step 5: Solve for x
    x = 33,851,882.07/5,706.10
  6. Step 6: Final answer
    x = 5,932.58

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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.