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Finding the Fourth Proportional to 3,800.05, 5,700.47 and 1,026.74

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Solution

The fourth proportional to 3,800.05, 5,700.47 and 1,026.74 is: 1,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.05 : 5,700.47 = 1,026.74 : x
  2. Step 2: Convert to fraction form
    3,800.05/5,700.47 = 1,026.74/x
  3. Step 3: Cross multiply
    3,800.05x = 5,700.47 × 1,026.74
  4. Step 4: Simplify right side
    3,800.05x = 5,852,900.57
  5. Step 5: Solve for x
    x = 5,852,900.57/3,800.05
  6. Step 6: Final answer
    x = 1,540.22

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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.