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Finding the Fourth Proportional to 3,911.48, 5,381.46 and 3,415.28

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Solution

The fourth proportional to 3,911.48, 5,381.46 and 3,415.28 is: 4,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.48 : 5,381.46 = 3,415.28 : x
  2. Step 2: Convert to fraction form
    3,911.48/5,381.46 = 3,415.28/x
  3. Step 3: Cross multiply
    3,911.48x = 5,381.46 × 3,415.28
  4. Step 4: Simplify right side
    3,911.48x = 18,379,192.71
  5. Step 5: Solve for x
    x = 18,379,192.71/3,911.48
  6. Step 6: Final answer
    x = 4,698.78

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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.