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Finding the Fourth Proportional to 6,285.66, 8,676.63 and 4,189.02

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Solution

The fourth proportional to 6,285.66, 8,676.63 and 4,189.02 is: 5,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.66 : 8,676.63 = 4,189.02 : x
  2. Step 2: Convert to fraction form
    6,285.66/8,676.63 = 4,189.02/x
  3. Step 3: Cross multiply
    6,285.66x = 8,676.63 × 4,189.02
  4. Step 4: Simplify right side
    6,285.66x = 36,346,576.60
  5. Step 5: Solve for x
    x = 36,346,576.60/6,285.66
  6. Step 6: Final answer
    x = 5,782.46

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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.