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Finding the Fourth Proportional to 5,639.96, 7,783.36 and 3,748.28

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Solution

The fourth proportional to 5,639.96, 7,783.36 and 3,748.28 is: 5,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.96 : 7,783.36 = 3,748.28 : x
  2. Step 2: Convert to fraction form
    5,639.96/7,783.36 = 3,748.28/x
  3. Step 3: Cross multiply
    5,639.96x = 7,783.36 × 3,748.28
  4. Step 4: Simplify right side
    5,639.96x = 29,174,212.62
  5. Step 5: Solve for x
    x = 29,174,212.62/5,639.96
  6. Step 6: Final answer
    x = 5,172.77

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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.