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Finding the Fourth Proportional to 5,242.02, 7,863.03 and 1,346.43

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Solution

The fourth proportional to 5,242.02, 7,863.03 and 1,346.43 is: 2,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.02 : 7,863.03 = 1,346.43 : x
  2. Step 2: Convert to fraction form
    5,242.02/7,863.03 = 1,346.43/x
  3. Step 3: Cross multiply
    5,242.02x = 7,863.03 × 1,346.43
  4. Step 4: Simplify right side
    5,242.02x = 10,587,019.48
  5. Step 5: Solve for x
    x = 10,587,019.48/5,242.02
  6. Step 6: Final answer
    x = 2,019.65

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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.