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Finding the Fourth Proportional to 5,176.68, 7,765.16 and 1,892.22

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Solution

The fourth proportional to 5,176.68, 7,765.16 and 1,892.22 is: 2,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.68 : 7,765.16 = 1,892.22 : x
  2. Step 2: Convert to fraction form
    5,176.68/7,765.16 = 1,892.22/x
  3. Step 3: Cross multiply
    5,176.68x = 7,765.16 × 1,892.22
  4. Step 4: Simplify right side
    5,176.68x = 14,693,391.06
  5. Step 5: Solve for x
    x = 14,693,391.06/5,176.68
  6. Step 6: Final answer
    x = 2,838.38

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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.