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Finding the Fourth Proportional to 3,792.02, 5,231.79 and 2,595.98

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Solution

The fourth proportional to 3,792.02, 5,231.79 and 2,595.98 is: 3,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.02 : 5,231.79 = 2,595.98 : x
  2. Step 2: Convert to fraction form
    3,792.02/5,231.79 = 2,595.98/x
  3. Step 3: Cross multiply
    3,792.02x = 5,231.79 × 2,595.98
  4. Step 4: Simplify right side
    3,792.02x = 13,581,635.28
  5. Step 5: Solve for x
    x = 13,581,635.28/3,792.02
  6. Step 6: Final answer
    x = 3,581.64

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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.