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Finding the Fourth Proportional to 4,337.20, 6,476.09 and 3,754

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Solution

The fourth proportional to 4,337.20, 6,476.09 and 3,754 is: 5,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.20 : 6,476.09 = 3,754 : x
  2. Step 2: Convert to fraction form
    4,337.20/6,476.09 = 3,754/x
  3. Step 3: Cross multiply
    4,337.20x = 6,476.09 × 3,754
  4. Step 4: Simplify right side
    4,337.20x = 24,311,241.86
  5. Step 5: Solve for x
    x = 24,311,241.86/4,337.20
  6. Step 6: Final answer
    x = 5,605.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.