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Finding the Fourth Proportional to 5,188.02, 7,782.02 and 1,292.43

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Solution

The fourth proportional to 5,188.02, 7,782.02 and 1,292.43 is: 1,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.02 : 7,782.02 = 1,292.43 : x
  2. Step 2: Convert to fraction form
    5,188.02/7,782.02 = 1,292.43/x
  3. Step 3: Cross multiply
    5,188.02x = 7,782.02 × 1,292.43
  4. Step 4: Simplify right side
    5,188.02x = 10,057,716.11
  5. Step 5: Solve for x
    x = 10,057,716.11/5,188.02
  6. Step 6: Final answer
    x = 1,938.64

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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.