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Finding the Fourth Proportional to 5,754.55, 8,625.83 and 3,905.81

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Solution

The fourth proportional to 5,754.55, 8,625.83 and 3,905.81 is: 5,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.55 : 8,625.83 = 3,905.81 : x
  2. Step 2: Convert to fraction form
    5,754.55/8,625.83 = 3,905.81/x
  3. Step 3: Cross multiply
    5,754.55x = 8,625.83 × 3,905.81
  4. Step 4: Simplify right side
    5,754.55x = 33,690,853.07
  5. Step 5: Solve for x
    x = 33,690,853.07/5,754.55
  6. Step 6: Final answer
    x = 5,854.65

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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.