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Finding the Fourth Proportional to 5,315.63, 7,323.89 and 3,965.49

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Solution

The fourth proportional to 5,315.63, 7,323.89 and 3,965.49 is: 5,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.63 : 7,323.89 = 3,965.49 : x
  2. Step 2: Convert to fraction form
    5,315.63/7,323.89 = 3,965.49/x
  3. Step 3: Cross multiply
    5,315.63x = 7,323.89 × 3,965.49
  4. Step 4: Simplify right side
    5,315.63x = 29,042,792.73
  5. Step 5: Solve for x
    x = 29,042,792.73/5,315.63
  6. Step 6: Final answer
    x = 5,463.66

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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.