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Finding the Fourth Proportional to 6,459.85, 8,912.29 and 4,223.02

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Solution

The fourth proportional to 6,459.85, 8,912.29 and 4,223.02 is: 5,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.85 : 8,912.29 = 4,223.02 : x
  2. Step 2: Convert to fraction form
    6,459.85/8,912.29 = 4,223.02/x
  3. Step 3: Cross multiply
    6,459.85x = 8,912.29 × 4,223.02
  4. Step 4: Simplify right side
    6,459.85x = 37,636,778.92
  5. Step 5: Solve for x
    x = 37,636,778.92/6,459.85
  6. Step 6: Final answer
    x = 5,826.26

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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.