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Finding the Fourth Proportional to 5,604.72, 7,736.10 and 4,493.40

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Solution

The fourth proportional to 5,604.72, 7,736.10 and 4,493.40 is: 6,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.72 : 7,736.10 = 4,493.40 : x
  2. Step 2: Convert to fraction form
    5,604.72/7,736.10 = 4,493.40/x
  3. Step 3: Cross multiply
    5,604.72x = 7,736.10 × 4,493.40
  4. Step 4: Simplify right side
    5,604.72x = 34,761,391.74
  5. Step 5: Solve for x
    x = 34,761,391.74/5,604.72
  6. Step 6: Final answer
    x = 6,202.16

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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.