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Finding the Fourth Proportional to 5,170.68, 7,137.10 and 3,515.64

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Solution

The fourth proportional to 5,170.68, 7,137.10 and 3,515.64 is: 4,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.68 : 7,137.10 = 3,515.64 : x
  2. Step 2: Convert to fraction form
    5,170.68/7,137.10 = 3,515.64/x
  3. Step 3: Cross multiply
    5,170.68x = 7,137.10 × 3,515.64
  4. Step 4: Simplify right side
    5,170.68x = 25,091,474.24
  5. Step 5: Solve for x
    x = 25,091,474.24/5,170.68
  6. Step 6: Final answer
    x = 4,852.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.