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Finding the Fourth Proportional to 5,917.41, 8,166.51 and 3,400.00

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Solution

The fourth proportional to 5,917.41, 8,166.51 and 3,400.00 is: 4,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.41 : 8,166.51 = 3,400.00 : x
  2. Step 2: Convert to fraction form
    5,917.41/8,166.51 = 3,400.00/x
  3. Step 3: Cross multiply
    5,917.41x = 8,166.51 × 3,400.00
  4. Step 4: Simplify right side
    5,917.41x = 27,766,159.52
  5. Step 5: Solve for x
    x = 27,766,159.52/5,917.41
  6. Step 6: Final answer
    x = 4,692.28

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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.