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Finding the Fourth Proportional to 6,517.80, 8,994.64 and 3,533.66

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Solution

The fourth proportional to 6,517.80, 8,994.64 and 3,533.66 is: 4,876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.80 : 8,994.64 = 3,533.66 : x
  2. Step 2: Convert to fraction form
    6,517.80/8,994.64 = 3,533.66/x
  3. Step 3: Cross multiply
    6,517.80x = 8,994.64 × 3,533.66
  4. Step 4: Simplify right side
    6,517.80x = 31,783,999.58
  5. Step 5: Solve for x
    x = 31,783,999.58/6,517.80
  6. Step 6: Final answer
    x = 4,876.49

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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.