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Finding the Fourth Proportional to 5,104.51, 7,656.39 and 1,771.97

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Solution

The fourth proportional to 5,104.51, 7,656.39 and 1,771.97 is: 2,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.51 : 7,656.39 = 1,771.97 : x
  2. Step 2: Convert to fraction form
    5,104.51/7,656.39 = 1,771.97/x
  3. Step 3: Cross multiply
    5,104.51x = 7,656.39 × 1,771.97
  4. Step 4: Simplify right side
    5,104.51x = 13,566,855.11
  5. Step 5: Solve for x
    x = 13,566,855.11/5,104.51
  6. Step 6: Final answer
    x = 2,657.82

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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.