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Finding the Fourth Proportional to 3,706.22, 5,559.10 and 932.92

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Solution

The fourth proportional to 3,706.22, 5,559.10 and 932.92 is: 1,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.22 : 5,559.10 = 932.92 : x
  2. Step 2: Convert to fraction form
    3,706.22/5,559.10 = 932.92/x
  3. Step 3: Cross multiply
    3,706.22x = 5,559.10 × 932.92
  4. Step 4: Simplify right side
    3,706.22x = 5,186,179.34
  5. Step 5: Solve for x
    x = 5,186,179.34/3,706.22
  6. Step 6: Final answer
    x = 1,399.32

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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.