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Finding the Fourth Proportional to 5,911.98, 8,158.95 and 3,394.50

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Solution

The fourth proportional to 5,911.98, 8,158.95 and 3,394.50 is: 4,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.98 : 8,158.95 = 3,394.50 : x
  2. Step 2: Convert to fraction form
    5,911.98/8,158.95 = 3,394.50/x
  3. Step 3: Cross multiply
    5,911.98x = 8,158.95 × 3,394.50
  4. Step 4: Simplify right side
    5,911.98x = 27,695,555.78
  5. Step 5: Solve for x
    x = 27,695,555.78/5,911.98
  6. Step 6: Final answer
    x = 4,684.65

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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.