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Finding the Fourth Proportional to 3,415.73, 5,125.76 and 1,957.73

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Solution

The fourth proportional to 3,415.73, 5,125.76 and 1,957.73 is: 2,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.73 : 5,125.76 = 1,957.73 : x
  2. Step 2: Convert to fraction form
    3,415.73/5,125.76 = 1,957.73/x
  3. Step 3: Cross multiply
    3,415.73x = 5,125.76 × 1,957.73
  4. Step 4: Simplify right side
    3,415.73x = 10,034,854.12
  5. Step 5: Solve for x
    x = 10,034,854.12/3,415.73
  6. Step 6: Final answer
    x = 2,937.84

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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.