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Finding the Fourth Proportional to 3,779, 5,668.52 and 1,043

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Solution

The fourth proportional to 3,779, 5,668.52 and 1,043 is: 1,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779 : 5,668.52 = 1,043 : x
  2. Step 2: Convert to fraction form
    3,779/5,668.52 = 1,043/x
  3. Step 3: Cross multiply
    3,779x = 5,668.52 × 1,043
  4. Step 4: Simplify right side
    3,779x = 5,912,266.36
  5. Step 5: Solve for x
    x = 5,912,266.36/3,779
  6. Step 6: Final answer
    x = 1,564.51

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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.