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Finding the Fourth Proportional to 5,638.92, 8,461.20 and 4,260.66

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Solution

The fourth proportional to 5,638.92, 8,461.20 and 4,260.66 is: 6,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.92 : 8,461.20 = 4,260.66 : x
  2. Step 2: Convert to fraction form
    5,638.92/8,461.20 = 4,260.66/x
  3. Step 3: Cross multiply
    5,638.92x = 8,461.20 × 4,260.66
  4. Step 4: Simplify right side
    5,638.92x = 36,050,296.39
  5. Step 5: Solve for x
    x = 36,050,296.39/5,638.92
  6. Step 6: Final answer
    x = 6,393.12

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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.