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Finding the Fourth Proportional to 5,813.85, 8,020.30 and 3,454.32

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Solution

The fourth proportional to 5,813.85, 8,020.30 and 3,454.32 is: 4,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.85 : 8,020.30 = 3,454.32 : x
  2. Step 2: Convert to fraction form
    5,813.85/8,020.30 = 3,454.32/x
  3. Step 3: Cross multiply
    5,813.85x = 8,020.30 × 3,454.32
  4. Step 4: Simplify right side
    5,813.85x = 27,704,710.61
  5. Step 5: Solve for x
    x = 27,704,710.61/5,813.85
  6. Step 6: Final answer
    x = 4,765.29

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