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Finding the Fourth Proportional to 5,796.87, 8,695.98 and 1,846.74

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Solution

The fourth proportional to 5,796.87, 8,695.98 and 1,846.74 is: 2,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.87 : 8,695.98 = 1,846.74 : x
  2. Step 2: Convert to fraction form
    5,796.87/8,695.98 = 1,846.74/x
  3. Step 3: Cross multiply
    5,796.87x = 8,695.98 × 1,846.74
  4. Step 4: Simplify right side
    5,796.87x = 16,059,214.11
  5. Step 5: Solve for x
    x = 16,059,214.11/5,796.87
  6. Step 6: Final answer
    x = 2,770.33

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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.