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Finding the Fourth Proportional to 5,815.76, 8,026 and 3,263.76

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Solution

The fourth proportional to 5,815.76, 8,026 and 3,263.76 is: 4,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.76 : 8,026 = 3,263.76 : x
  2. Step 2: Convert to fraction form
    5,815.76/8,026 = 3,263.76/x
  3. Step 3: Cross multiply
    5,815.76x = 8,026 × 3,263.76
  4. Step 4: Simplify right side
    5,815.76x = 26,194,937.76
  5. Step 5: Solve for x
    x = 26,194,937.76/5,815.76
  6. Step 6: Final answer
    x = 4,504.13

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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.