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Finding the Fourth Proportional to 3,885.02, 5,827.47 and 963.30

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Solution

The fourth proportional to 3,885.02, 5,827.47 and 963.30 is: 1,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.02 : 5,827.47 = 963.30 : x
  2. Step 2: Convert to fraction form
    3,885.02/5,827.47 = 963.30/x
  3. Step 3: Cross multiply
    3,885.02x = 5,827.47 × 963.30
  4. Step 4: Simplify right side
    3,885.02x = 5,613,601.85
  5. Step 5: Solve for x
    x = 5,613,601.85/3,885.02
  6. Step 6: Final answer
    x = 1,444.94

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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.