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Finding the Fourth Proportional to 6,298.14, 8,691.45 and 3,503.64

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Solution

The fourth proportional to 6,298.14, 8,691.45 and 3,503.64 is: 4,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.14 : 8,691.45 = 3,503.64 : x
  2. Step 2: Convert to fraction form
    6,298.14/8,691.45 = 3,503.64/x
  3. Step 3: Cross multiply
    6,298.14x = 8,691.45 × 3,503.64
  4. Step 4: Simplify right side
    6,298.14x = 30,451,711.88
  5. Step 5: Solve for x
    x = 30,451,711.88/6,298.14
  6. Step 6: Final answer
    x = 4,835.03

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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.