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Finding the Fourth Proportional to 3,885.69, 5,828.52 and 963.99

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Solution

The fourth proportional to 3,885.69, 5,828.52 and 963.99 is: 1,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.69 : 5,828.52 = 963.99 : x
  2. Step 2: Convert to fraction form
    3,885.69/5,828.52 = 963.99/x
  3. Step 3: Cross multiply
    3,885.69x = 5,828.52 × 963.99
  4. Step 4: Simplify right side
    3,885.69x = 5,618,615.60
  5. Step 5: Solve for x
    x = 5,618,615.60/3,885.69
  6. Step 6: Final answer
    x = 1,445.98

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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.