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Finding the Fourth Proportional to 6,503.82, 8,975.23 and 3,519.66

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Solution

The fourth proportional to 6,503.82, 8,975.23 and 3,519.66 is: 4,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.82 : 8,975.23 = 3,519.66 : x
  2. Step 2: Convert to fraction form
    6,503.82/8,975.23 = 3,519.66/x
  3. Step 3: Cross multiply
    6,503.82x = 8,975.23 × 3,519.66
  4. Step 4: Simplify right side
    6,503.82x = 31,589,758.02
  5. Step 5: Solve for x
    x = 31,589,758.02/6,503.82
  6. Step 6: Final answer
    x = 4,857.11

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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.