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Finding the Fourth Proportional to 3,731.20, 5,596.70 and 957.88

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Solution

The fourth proportional to 3,731.20, 5,596.70 and 957.88 is: 1,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.20 : 5,596.70 = 957.88 : x
  2. Step 2: Convert to fraction form
    3,731.20/5,596.70 = 957.88/x
  3. Step 3: Cross multiply
    3,731.20x = 5,596.70 × 957.88
  4. Step 4: Simplify right side
    3,731.20x = 5,360,967.00
  5. Step 5: Solve for x
    x = 5,360,967.00/3,731.20
  6. Step 6: Final answer
    x = 1,436.79

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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.