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Finding the Fourth Proportional to 3,885.26, 5,827.98 and 2,962.46

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Solution

The fourth proportional to 3,885.26, 5,827.98 and 2,962.46 is: 4,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.26 : 5,827.98 = 2,962.46 : x
  2. Step 2: Convert to fraction form
    3,885.26/5,827.98 = 2,962.46/x
  3. Step 3: Cross multiply
    3,885.26x = 5,827.98 × 2,962.46
  4. Step 4: Simplify right side
    3,885.26x = 17,265,128.49
  5. Step 5: Solve for x
    x = 17,265,128.49/3,885.26
  6. Step 6: Final answer
    x = 4,443.76

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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.