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Finding the Fourth Proportional to 5,168.12, 7,742.93 and 3,314.66

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Solution

The fourth proportional to 5,168.12, 7,742.93 and 3,314.66 is: 4,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.12 : 7,742.93 = 3,314.66 : x
  2. Step 2: Convert to fraction form
    5,168.12/7,742.93 = 3,314.66/x
  3. Step 3: Cross multiply
    5,168.12x = 7,742.93 × 3,314.66
  4. Step 4: Simplify right side
    5,168.12x = 25,665,125.07
  5. Step 5: Solve for x
    x = 25,665,125.07/5,168.12
  6. Step 6: Final answer
    x = 4,966.05

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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.