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Finding the Fourth Proportional to 5,682.70, 8,503.77 and 3,928.06

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Solution

The fourth proportional to 5,682.70, 8,503.77 and 3,928.06 is: 5,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.70 : 8,503.77 = 3,928.06 : x
  2. Step 2: Convert to fraction form
    5,682.70/8,503.77 = 3,928.06/x
  3. Step 3: Cross multiply
    5,682.70x = 8,503.77 × 3,928.06
  4. Step 4: Simplify right side
    5,682.70x = 33,403,318.79
  5. Step 5: Solve for x
    x = 33,403,318.79/5,682.70
  6. Step 6: Final answer
    x = 5,878.07

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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.