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Finding the Fourth Proportional to 5,176.44, 7,765.02 and 1,716.12

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Solution

The fourth proportional to 5,176.44, 7,765.02 and 1,716.12 is: 2,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.44 : 7,765.02 = 1,716.12 : x
  2. Step 2: Convert to fraction form
    5,176.44/7,765.02 = 1,716.12/x
  3. Step 3: Cross multiply
    5,176.44x = 7,765.02 × 1,716.12
  4. Step 4: Simplify right side
    5,176.44x = 13,325,706.12
  5. Step 5: Solve for x
    x = 13,325,706.12/5,176.44
  6. Step 6: Final answer
    x = 2,574.30

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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.