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Finding the Fourth Proportional to 3,731.16, 5,596.60 and 957.85

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Solution

The fourth proportional to 3,731.16, 5,596.60 and 957.85 is: 1,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.16 : 5,596.60 = 957.85 : x
  2. Step 2: Convert to fraction form
    3,731.16/5,596.60 = 957.85/x
  3. Step 3: Cross multiply
    3,731.16x = 5,596.60 × 957.85
  4. Step 4: Simplify right side
    3,731.16x = 5,360,703.31
  5. Step 5: Solve for x
    x = 5,360,703.31/3,731.16
  6. Step 6: Final answer
    x = 1,436.74

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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.