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Finding the Fourth Proportional to 5,102.37, 7,646.37 and 4,057.73

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Solution

The fourth proportional to 5,102.37, 7,646.37 and 4,057.73 is: 6,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.37 : 7,646.37 = 4,057.73 : x
  2. Step 2: Convert to fraction form
    5,102.37/7,646.37 = 4,057.73/x
  3. Step 3: Cross multiply
    5,102.37x = 7,646.37 × 4,057.73
  4. Step 4: Simplify right side
    5,102.37x = 31,026,904.94
  5. Step 5: Solve for x
    x = 31,026,904.94/5,102.37
  6. Step 6: Final answer
    x = 6,080.88

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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.