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Finding the Fourth Proportional to 5,185.94, 7,775.79 and 2,066.43

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Solution

The fourth proportional to 5,185.94, 7,775.79 and 2,066.43 is: 3,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.94 : 7,775.79 = 2,066.43 : x
  2. Step 2: Convert to fraction form
    5,185.94/7,775.79 = 2,066.43/x
  3. Step 3: Cross multiply
    5,185.94x = 7,775.79 × 2,066.43
  4. Step 4: Simplify right side
    5,185.94x = 16,068,117.98
  5. Step 5: Solve for x
    x = 16,068,117.98/5,185.94
  6. Step 6: Final answer
    x = 3,098.40

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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.