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Finding the Fourth Proportional to 5,893.74, 8,134.14 and 3,803.94

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Solution

The fourth proportional to 5,893.74, 8,134.14 and 3,803.94 is: 5,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.74 : 8,134.14 = 3,803.94 : x
  2. Step 2: Convert to fraction form
    5,893.74/8,134.14 = 3,803.94/x
  3. Step 3: Cross multiply
    5,893.74x = 8,134.14 × 3,803.94
  4. Step 4: Simplify right side
    5,893.74x = 30,941,780.51
  5. Step 5: Solve for x
    x = 30,941,780.51/5,893.74
  6. Step 6: Final answer
    x = 5,249.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.