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Finding the Fourth Proportional to 5,883.84, 8,122.24 and 3,895.36

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Solution

The fourth proportional to 5,883.84, 8,122.24 and 3,895.36 is: 5,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.84 : 8,122.24 = 3,895.36 : x
  2. Step 2: Convert to fraction form
    5,883.84/8,122.24 = 3,895.36/x
  3. Step 3: Cross multiply
    5,883.84x = 8,122.24 × 3,895.36
  4. Step 4: Simplify right side
    5,883.84x = 31,639,048.81
  5. Step 5: Solve for x
    x = 31,639,048.81/5,883.84
  6. Step 6: Final answer
    x = 5,377.28

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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.