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Finding the Fourth Proportional to 3,792.42, 5,688.65 and 2,071.98

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Solution

The fourth proportional to 3,792.42, 5,688.65 and 2,071.98 is: 3,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.42 : 5,688.65 = 2,071.98 : x
  2. Step 2: Convert to fraction form
    3,792.42/5,688.65 = 2,071.98/x
  3. Step 3: Cross multiply
    3,792.42x = 5,688.65 × 2,071.98
  4. Step 4: Simplify right side
    3,792.42x = 11,786,769.03
  5. Step 5: Solve for x
    x = 11,786,769.03/3,792.42
  6. Step 6: Final answer
    x = 3,107.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.