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Finding the Fourth Proportional to 5,796.92, 8,695.91 and 1,636.99

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Solution

The fourth proportional to 5,796.92, 8,695.91 and 1,636.99 is: 2,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.92 : 8,695.91 = 1,636.99 : x
  2. Step 2: Convert to fraction form
    5,796.92/8,695.91 = 1,636.99/x
  3. Step 3: Cross multiply
    5,796.92x = 8,695.91 × 1,636.99
  4. Step 4: Simplify right side
    5,796.92x = 14,235,117.71
  5. Step 5: Solve for x
    x = 14,235,117.71/5,796.92
  6. Step 6: Final answer
    x = 2,455.63

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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.