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Finding the Fourth Proportional to 5,242.14, 7,863.18 and 1,346.55

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Solution

The fourth proportional to 5,242.14, 7,863.18 and 1,346.55 is: 2,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.14 : 7,863.18 = 1,346.55 : x
  2. Step 2: Convert to fraction form
    5,242.14/7,863.18 = 1,346.55/x
  3. Step 3: Cross multiply
    5,242.14x = 7,863.18 × 1,346.55
  4. Step 4: Simplify right side
    5,242.14x = 10,588,165.03
  5. Step 5: Solve for x
    x = 10,588,165.03/5,242.14
  6. Step 6: Final answer
    x = 2,019.82

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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.