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Finding the Fourth Proportional to 3,885.84, 5,315.04 and 3,825.36

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Solution

The fourth proportional to 3,885.84, 5,315.04 and 3,825.36 is: 5,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.84 : 5,315.04 = 3,825.36 : x
  2. Step 2: Convert to fraction form
    3,885.84/5,315.04 = 3,825.36/x
  3. Step 3: Cross multiply
    3,885.84x = 5,315.04 × 3,825.36
  4. Step 4: Simplify right side
    3,885.84x = 20,331,941.41
  5. Step 5: Solve for x
    x = 20,331,941.41/3,885.84
  6. Step 6: Final answer
    x = 5,232.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.