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Finding the Fourth Proportional to 3,927.36, 5,890.42 and 3,710.49

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Solution

The fourth proportional to 3,927.36, 5,890.42 and 3,710.49 is: 5,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.36 : 5,890.42 = 3,710.49 : x
  2. Step 2: Convert to fraction form
    3,927.36/5,890.42 = 3,710.49/x
  3. Step 3: Cross multiply
    3,927.36x = 5,890.42 × 3,710.49
  4. Step 4: Simplify right side
    3,927.36x = 21,856,344.51
  5. Step 5: Solve for x
    x = 21,856,344.51/3,927.36
  6. Step 6: Final answer
    x = 5,565.15

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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.