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Finding the Fourth Proportional to 3,494.45, 5,232.49 and 2,937.80

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Solution

The fourth proportional to 3,494.45, 5,232.49 and 2,937.80 is: 4,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.45 : 5,232.49 = 2,937.80 : x
  2. Step 2: Convert to fraction form
    3,494.45/5,232.49 = 2,937.80/x
  3. Step 3: Cross multiply
    3,494.45x = 5,232.49 × 2,937.80
  4. Step 4: Simplify right side
    3,494.45x = 15,372,009.12
  5. Step 5: Solve for x
    x = 15,372,009.12/3,494.45
  6. Step 6: Final answer
    x = 4,398.98

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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.