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Finding the Fourth Proportional to 3,792.69, 5,695.21 and 2,341.07

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Solution

The fourth proportional to 3,792.69, 5,695.21 and 2,341.07 is: 3,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.69 : 5,695.21 = 2,341.07 : x
  2. Step 2: Convert to fraction form
    3,792.69/5,695.21 = 2,341.07/x
  3. Step 3: Cross multiply
    3,792.69x = 5,695.21 × 2,341.07
  4. Step 4: Simplify right side
    3,792.69x = 13,332,885.27
  5. Step 5: Solve for x
    x = 13,332,885.27/3,792.69
  6. Step 6: Final answer
    x = 3,515.42

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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.