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Finding the Fourth Proportional to 5,658.80, 8,484.12 and 3,805.34

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Solution

The fourth proportional to 5,658.80, 8,484.12 and 3,805.34 is: 5,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.80 : 8,484.12 = 3,805.34 : x
  2. Step 2: Convert to fraction form
    5,658.80/8,484.12 = 3,805.34/x
  3. Step 3: Cross multiply
    5,658.80x = 8,484.12 × 3,805.34
  4. Step 4: Simplify right side
    5,658.80x = 32,284,918.78
  5. Step 5: Solve for x
    x = 32,284,918.78/5,658.80
  6. Step 6: Final answer
    x = 5,705.26

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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.