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Finding the Fourth Proportional to 3,477.16, 5,218.14 and 3,170.92

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Solution

The fourth proportional to 3,477.16, 5,218.14 and 3,170.92 is: 4,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.16 : 5,218.14 = 3,170.92 : x
  2. Step 2: Convert to fraction form
    3,477.16/5,218.14 = 3,170.92/x
  3. Step 3: Cross multiply
    3,477.16x = 5,218.14 × 3,170.92
  4. Step 4: Simplify right side
    3,477.16x = 16,546,304.49
  5. Step 5: Solve for x
    x = 16,546,304.49/3,477.16
  6. Step 6: Final answer
    x = 4,758.57

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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.