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Finding the Fourth Proportional to 5,676.34, 8,508.19 and 4,285.17

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Solution

The fourth proportional to 5,676.34, 8,508.19 and 4,285.17 is: 6,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.34 : 8,508.19 = 4,285.17 : x
  2. Step 2: Convert to fraction form
    5,676.34/8,508.19 = 4,285.17/x
  3. Step 3: Cross multiply
    5,676.34x = 8,508.19 × 4,285.17
  4. Step 4: Simplify right side
    5,676.34x = 36,459,040.54
  5. Step 5: Solve for x
    x = 36,459,040.54/5,676.34
  6. Step 6: Final answer
    x = 6,422.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.