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Finding the Fourth Proportional to 5,113.96, 7,633.55 and 4,738.36

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Solution

The fourth proportional to 5,113.96, 7,633.55 and 4,738.36 is: 7,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.96 : 7,633.55 = 4,738.36 : x
  2. Step 2: Convert to fraction form
    5,113.96/7,633.55 = 4,738.36/x
  3. Step 3: Cross multiply
    5,113.96x = 7,633.55 × 4,738.36
  4. Step 4: Simplify right side
    5,113.96x = 36,170,507.98
  5. Step 5: Solve for x
    x = 36,170,507.98/5,113.96
  6. Step 6: Final answer
    x = 7,072.90

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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.