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Finding the Fourth Proportional to 6,298.44, 8,676.81 and 4,406.49

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Solution

The fourth proportional to 6,298.44, 8,676.81 and 4,406.49 is: 6,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.44 : 8,676.81 = 4,406.49 : x
  2. Step 2: Convert to fraction form
    6,298.44/8,676.81 = 4,406.49/x
  3. Step 3: Cross multiply
    6,298.44x = 8,676.81 × 4,406.49
  4. Step 4: Simplify right side
    6,298.44x = 38,234,276.50
  5. Step 5: Solve for x
    x = 38,234,276.50/6,298.44
  6. Step 6: Final answer
    x = 6,070.44

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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.