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Finding the Fourth Proportional to 3,710.51, 5,122.90 and 3,311.49

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Solution

The fourth proportional to 3,710.51, 5,122.90 and 3,311.49 is: 4,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.51 : 5,122.90 = 3,311.49 : x
  2. Step 2: Convert to fraction form
    3,710.51/5,122.90 = 3,311.49/x
  3. Step 3: Cross multiply
    3,710.51x = 5,122.90 × 3,311.49
  4. Step 4: Simplify right side
    3,710.51x = 16,964,389.95
  5. Step 5: Solve for x
    x = 16,964,389.95/3,710.51
  6. Step 6: Final answer
    x = 4,571.98

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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.