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Finding the Fourth Proportional to 5,645.13, 8,468.87 and 1,696.22

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Solution

The fourth proportional to 5,645.13, 8,468.87 and 1,696.22 is: 2,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.13 : 8,468.87 = 1,696.22 : x
  2. Step 2: Convert to fraction form
    5,645.13/8,468.87 = 1,696.22/x
  3. Step 3: Cross multiply
    5,645.13x = 8,468.87 × 1,696.22
  4. Step 4: Simplify right side
    5,645.13x = 14,365,095.24
  5. Step 5: Solve for x
    x = 14,365,095.24/5,645.13
  6. Step 6: Final answer
    x = 2,544.69

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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.