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Finding the Fourth Proportional to 5,811.48, 8,716.68 and 1,651.86

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Solution

The fourth proportional to 5,811.48, 8,716.68 and 1,651.86 is: 2,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.48 : 8,716.68 = 1,651.86 : x
  2. Step 2: Convert to fraction form
    5,811.48/8,716.68 = 1,651.86/x
  3. Step 3: Cross multiply
    5,811.48x = 8,716.68 × 1,651.86
  4. Step 4: Simplify right side
    5,811.48x = 14,398,735.02
  5. Step 5: Solve for x
    x = 14,398,735.02/5,811.48
  6. Step 6: Final answer
    x = 2,477.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.