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Finding the Fourth Proportional to 3,770.64, 5,169.14 and 3,710.16

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Solution

The fourth proportional to 3,770.64, 5,169.14 and 3,710.16 is: 5,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.64 : 5,169.14 = 3,710.16 : x
  2. Step 2: Convert to fraction form
    3,770.64/5,169.14 = 3,710.16/x
  3. Step 3: Cross multiply
    3,770.64x = 5,169.14 × 3,710.16
  4. Step 4: Simplify right side
    3,770.64x = 19,178,336.46
  5. Step 5: Solve for x
    x = 19,178,336.46/3,770.64
  6. Step 6: Final answer
    x = 5,086.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.