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Finding the Fourth Proportional to 5,659.84, 8,475.12 and 3,910.24

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Solution

The fourth proportional to 5,659.84, 8,475.12 and 3,910.24 is: 5,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.84 : 8,475.12 = 3,910.24 : x
  2. Step 2: Convert to fraction form
    5,659.84/8,475.12 = 3,910.24/x
  3. Step 3: Cross multiply
    5,659.84x = 8,475.12 × 3,910.24
  4. Step 4: Simplify right side
    5,659.84x = 33,139,753.23
  5. Step 5: Solve for x
    x = 33,139,753.23/5,659.84
  6. Step 6: Final answer
    x = 5,855.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.